11957462352 has 480 divisors, whose sum is σ = 40557404160. Its totient is φ = 3374784000.

The previous prime is 11957462347. The next prime is 11957462359. The reversal of 11957462352 is 25326475911.

11957462352 is a `hidden beast` number, since 1 + 1 + 9 + 574 + 6 + 23 + 52 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (453600) is a multiple of the sum of its prime factors (405).

It is a junction number, because it is equal to n+sod(n) for n = 11957462298 and 11957462307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11957462359) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38448277 + ... + 38448587.

It is an arithmetic number, because the mean of its divisors is an integer number (84494592).

Almost surely, 2^11957462352 is an apocalyptic number.

11957462352 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 11957462352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278702080).

11957462352 is an abundant number, since it is smaller than the sum of its proper divisors (28599941808).

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

11957462352 is a wasteful number, since it uses less digits than its factorization.

11957462352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 11957462352 in words is "eleven billion, nine hundred fifty-seven million, four hundred sixty-two thousand, three hundred fifty-two".