11856646512 has 120 divisors (see below), whose sum is σ = 34675280640. Its totient is φ = 3921877440.

The previous prime is 11856646469. The next prime is 11856646523. The reversal of 11856646512 is 21564665811.

11856646512 is a `hidden beast` number, since 1 + 18 + 566 + 4 + 65 + 12 = 666.

It is a super-2 number, since 2×11856646512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 497689 + ... + 520967.

It is an arithmetic number, because the mean of its divisors is an integer number (288960672).

Almost surely, 2^11856646512 is an apocalyptic number.

11856646512 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 11856646512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337640320).

11856646512 is an abundant number, since it is smaller than the sum of its proper divisors (22818634128).

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

11856646512 is a wasteful number, since it uses less digits than its factorization.

11856646512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23433 (or 23415 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 11856646512 in words is "eleven billion, eight hundred fifty-six million, six hundred forty-six thousand, five hundred twelve".