11656387314000 has 2880 divisors, whose sum is σ = 52643220903936. Its totient is φ = 2372198400000.

The previous prime is 11656387313999. The next prime is 11656387314007. The reversal of 11656387314000 is 41378365611.

11656387314000 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 638 + 7 + 3 + 1 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11656387314007) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17634473670 + ... + 17634474330.

Almost surely, 2^{11656387314000} is an apocalyptic number.

11656387314000 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 11656387314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26321610451968).

11656387314000 is an abundant number, since it is smaller than the sum of its proper divisors (40986833589936).

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

11656387314000 is a wasteful number, since it uses less digits than its factorization.

11656387314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11656387314000 in words is "eleven trillion, six hundred fifty-six billion, three hundred eighty-seven million, three hundred fourteen thousand".