56941645112352 has 864 divisors, whose sum is σ = 229492304443584. Its totient is φ = 13652329420800.

The previous prime is 56941645112347. The next prime is 56941645112369. The reversal of 56941645112352 is 25321154614965.

It is a happy number.

56941645112352 is a `hidden beast` number, since 5 + 6 + 9 + 4 + 16 + 451 + 123 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53963902 + ... + 55008962.

It is an arithmetic number, because the mean of its divisors is an integer number (265616093106).

Almost surely, 2^{56941645112352} is an apocalyptic number.

56941645112352 is a gapful number since it is divisible by the number (52) 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 56941645112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114746152221792).

56941645112352 is an abundant number, since it is smaller than the sum of its proper divisors (172550659331232).

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

56941645112352 is a wasteful number, since it uses less digits than its factorization.

56941645112352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045124 (or 1045097 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The spelling of 56941645112352 in words is "fifty-six trillion, nine hundred forty-one billion, six hundred forty-five million, one hundred twelve thousand, three hundred fifty-two".