11638094400 has 567 divisors, whose sum is σ = 44266600443. Its totient is φ = 2899814400.

The previous prime is 11638094389. The next prime is 11638094449. The reversal of 11638094400 is 449083611.

11638094400 = 1³ + 2³ + ... + 464³.

The square root of 11638094400 is 107880.

It is a perfect power (a square), and thus also a powerful number.

11638094400 is a `hidden beast` number, since 1 + 163 + 8 + 0 + 94 + 400 = 666.

11638094400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 159971904 + 11478122496 = 12648^2 + 107136^2 .

It is a super-2 number, since 2×11638094400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 375422385 + ... + 375422415.

Almost surely, 2^11638094400 is an apocalyptic number.

11638094400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11638094400 is the 107880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11638094400

11638094400 is an abundant number, since it is smaller than the sum of its proper divisors (32628506043).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11638094400 is a wasteful number, since it uses less digits than its factorization.

11638094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 11638094400 by its sum of digits (36), we get a square (418971398400 = 647280²).

11638094400 divided by its sum of digits (36) gives a square (323280400 = 17980²).

Multiplying 11638094400 by its product of nonzero digits (20736), we get a square (241327525478400 = 15534720²).

The spelling of 11638094400 in words is "eleven billion, six hundred thirty-eight million, ninety-four thousand, four hundred".