11456312556000 has 192 divisors, whose sum is σ = 40417871247936. Its totient is φ = 2820015360000.

The previous prime is 11456312555969. The next prime is 11456312556011. The reversal of 11456312556000 is 65521365411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11456312556000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36562951 + ... + 36874950.

It is an arithmetic number, because the mean of its divisors is an integer number (210509746083).

Almost surely, 2^{11456312556000} is an apocalyptic number.

11456312556000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456312556000 is an abundant number, since it is smaller than the sum of its proper divisors (28961558691936).

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

11456312556000 is a wasteful number, since it uses less digits than its factorization.

11456312556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73437942 (or 73437924 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 11456312556000 in words is "eleven trillion, four hundred fifty-six billion, three hundred twelve million, five hundred fifty-six thousand".