11112924816000 has 3072 divisors, whose sum is σ = 50522636736000. Its totient is φ = 2389782528000.

The previous prime is 11112924815999. The next prime is 11112924816079. The reversal of 11112924816000 is 61842921111.

11112924816000 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 9 + 2 + 48 + 1 + 600 + 0 = 666.

11112924816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26396495790 + ... + 26396496210.

Almost surely, 2^{11112924816000} is an apocalyptic number.

11112924816000 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 11112924816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25261318368000).

11112924816000 is an abundant number, since it is smaller than the sum of its proper divisors (39409711920000).

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

11112924816000 is a wasteful number, since it uses less digits than its factorization.

11112924816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11112924816000 in words is "eleven trillion, one hundred twelve billion, nine hundred twenty-four million, eight hundred sixteen thousand".