11138691600 has 135 divisors (see below), whose sum is σ = 38676341613. Its totient is φ = 2968629120.

The previous prime is 11138691583. The next prime is 11138691631. The reversal of 11138691600 is 619683111.

It is a happy number.

The square root of 11138691600 is 105540.

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

11138691600 is a `hidden beast` number, since 1 + 11 + 38 + 6 + 9 + 1 + 600 = 666.

11138691600 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 only one way, i.e., 4009928976 + 7128762624 = 63324^2 + 84432^2 .

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 26 ways as a sum of consecutive naturals, for example, 6331521 + ... + 6333279.

Almost surely, 2^11138691600 is an apocalyptic number.

11138691600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11138691600 is the 105540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11138691600

11138691600 is an abundant number, since it is smaller than the sum of its proper divisors (27537650013).

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

11138691600 is an equidigital number, since it uses as much as digits as its factorization.

11138691600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

Multiplying 11138691600 by its sum of digits (36), we get a square (400992897600 = 633240²).

11138691600 divided by its sum of digits (36) gives a square (309408100 = 17590²).

The spelling of 11138691600 in words is "eleven billion, one hundred thirty-eight million, six hundred ninety-one thousand, six hundred".