56449958464 has 63 divisors (see below), whose sum is σ = 119062931673. Its totient is φ = 26549480448.

The previous prime is 56449958459. The next prime is 56449958473. The reversal of 56449958464 is 46485994465.

The square root of 56449958464 is 237592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43948929600 + 12501028864 = 209640^2 + 111808^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56449958396 and 56449958405.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32311639 + ... + 32313385.

Almost surely, 2^56449958464 is an apocalyptic number.

56449958464 is the 237592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56449958464

56449958464 is an abundant number, since it is smaller than the sum of its proper divisors (62612973209).

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

56449958464 is an frugal number, since it uses more digits than its factorization.

56449958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540 (or 1766 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 64.

Multiplying 56449958464 by its sum of digits (64), we get a square (3612797341696 = 1900736²).

56449958464 divided by its sum of digits (64) gives a square (882030601 = 29699²).

The spelling of 56449958464 in words is "fifty-six billion, four hundred forty-nine million, nine hundred fifty-eight thousand, four hundred sixty-four".