11457512352 has 576 divisors, whose sum is σ = 40238505216. Its totient is φ = 3045703680.

The previous prime is 11457512329. The next prime is 11457512369. The reversal of 11457512352 is 25321575411.

11457512352 is a `hidden beast` number, since 1 + 14 + 575 + 1 + 23 + 52 = 666.

11457512352 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111237933 + ... + 111238035.

It is an arithmetic number, because the mean of its divisors is an integer number (69858516).

Almost surely, 2^11457512352 is an apocalyptic number.

11457512352 is a gapful number since it is divisible by the number (12) 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 11457512352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20119252608).

11457512352 is an abundant number, since it is smaller than the sum of its proper divisors (28780992864).

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

11457512352 is a wasteful number, since it uses less digits than its factorization.

11457512352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 242 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The spelling of 11457512352 in words is "eleven billion, four hundred fifty-seven million, five hundred twelve thousand, three hundred fifty-two".