11264774400 has 648 divisors, whose sum is σ = 45904936896. Its totient is φ = 2608742400.

The previous prime is 11264774369. The next prime is 11264774401. The reversal of 11264774400 is 447746211.

It is a happy number.

11264774400 is a `hidden beast` number, since 1 + 1 + 2 + 647 + 7 + 4 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11264774401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14572414 + ... + 14573186.

It is an arithmetic number, because the mean of its divisors is an integer number (70840952).

Almost surely, 2^11264774400 is an apocalyptic number.

11264774400 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 11264774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22952468448).

11264774400 is an abundant number, since it is smaller than the sum of its proper divisors (34640162496).

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

11264774400 is a wasteful number, since it uses less digits than its factorization.

11264774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 11264774400 in words is "eleven billion, two hundred sixty-four million, seven hundred seventy-four thousand, four hundred".