11363774400 has 252 divisors, whose sum is σ = 44061927624. Its totient is φ = 2754816000.

The previous prime is 11363774333. The next prime is 11363774419. The reversal of 11363774400 is 447736311.

11363774400 is a `hidden beast` number, since 1 + 13 + 637 + 7 + 4 + 4 + 0 + 0 = 666.

11363774400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11363774400² (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 a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 122530 + ... + 194270.

Almost surely, 2^11363774400 is an apocalyptic number.

11363774400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11363774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22030963812).

11363774400 is an abundant number, since it is smaller than the sum of its proper divisors (32698153224).

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

11363774400 is a wasteful number, since it uses less digits than its factorization.

11363774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71780 (or 71762 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 11363774400 in words is "eleven billion, three hundred sixty-three million, seven hundred seventy-four thousand, four hundred".