56445974064 has 80 divisors (see below), whose sum is σ = 162502044640. Its totient is φ = 18759444480.

The previous prime is 56445974027. The next prime is 56445974069. The reversal of 56445974064 is 46047954465.

56445974064 is a `hidden beast` number, since 5 + 6 + 4 + 4 + 597 + 40 + 6 + 4 = 666.

It is a super-2 number, since 2×56445974064² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56445974064.

It is not an unprimeable number, because it can be changed into a prime (56445974069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48277 + ... + 339444.

It is an arithmetic number, because the mean of its divisors is an integer number (2031275558).

Almost surely, 2^56445974064 is an apocalyptic number.

56445974064 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 56445974064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81251022320).

56445974064 is an abundant number, since it is smaller than the sum of its proper divisors (106056070576).

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

56445974064 is a wasteful number, since it uses less digits than its factorization.

56445974064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388075 (or 388063 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 56445974064 in words is "fifty-six billion, four hundred forty-five million, nine hundred seventy-four thousand, sixty-four".