56461585644684 has 192 divisors, whose sum is σ = 162468023961600. Its totient is φ = 16812112046400.

The previous prime is 56461585644671. The next prime is 56461585644727. The reversal of 56461585644684 is 48644658516465.

56461585644684 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 1 + 58 + 56 + 446 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158720899 + ... + 159076229.

It is an arithmetic number, because the mean of its divisors is an integer number (846187624800).

Almost surely, 2^{56461585644684} is an apocalyptic number.

56461585644684 is a gapful number since it is divisible by the number (54) 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 56461585644684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81234011980800).

56461585644684 is an abundant number, since it is smaller than the sum of its proper divisors (106006438316916).

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

56461585644684 is a wasteful number, since it uses less digits than its factorization.

56461585644684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357681 (or 357673 counting only the distinct ones).

The product of its digits is 2654208000, while the sum is 72.

The spelling of 56461585644684 in words is "fifty-six trillion, four hundred sixty-one billion, five hundred eighty-five million, six hundred forty-four thousand, six hundred eighty-four".