56545664112 has 320 divisors, whose sum is σ = 199348669440. Its totient is φ = 14977695744.

The previous prime is 56545664083. The next prime is 56545664159. The reversal of 56545664112 is 21146654565.

56545664112 is a `hidden beast` number, since 5 + 6 + 545 + 66 + 41 + 1 + 2 = 666.

It is a congruent number.

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, 3436128 + ... + 3452544.

It is an arithmetic number, because the mean of its divisors is an integer number (622964592).

Almost surely, 2^56545664112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56545664112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99674334720).

56545664112 is an abundant number, since it is smaller than the sum of its proper divisors (142803005328).

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

56545664112 is a wasteful number, since it uses less digits than its factorization.

56545664112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16525 (or 16513 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The spelling of 56545664112 in words is "fifty-six billion, five hundred forty-five million, six hundred sixty-four thousand, one hundred twelve".