56471814144 has 512 divisors, whose sum is σ = 181191168000. Its totient is φ = 17340825600.

The previous prime is 56471814127. The next prime is 56471814209. The reversal of 56471814144 is 44141817465.

56471814144 is a `hidden beast` number, since 56 + 4 + 7 + 181 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a self number, because there is not a number n which added to its sum of digits gives 56471814144.

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, 795377629 + ... + 795377699.

It is an arithmetic number, because the mean of its divisors is an integer number (353889000).

Almost surely, 2^56471814144 is an apocalyptic number.

56471814144 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 56471814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90595584000).

56471814144 is an abundant number, since it is smaller than the sum of its proper divisors (124719353856).

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

56471814144 is an equidigital number, since it uses as much as digits as its factorization.

56471814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 56471814144 in words is "fifty-six billion, four hundred seventy-one million, eight hundred fourteen thousand, one hundred forty-four".