56346578112 has 224 divisors, whose sum is σ = 169565165568. Its totient is φ = 16358400000.

The previous prime is 56346578111. The next prime is 56346578131. The reversal of 56346578112 is 21187564365.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (56346578111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6608412 + ... + 6616932.

Almost surely, 2^56346578112 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 56346578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84782582784).

56346578112 is an abundant number, since it is smaller than the sum of its proper divisors (113218587456).

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

56346578112 is a wasteful number, since it uses less digits than its factorization.

56346578112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8679 (or 8669 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 56346578112 in words is "fifty-six billion, three hundred forty-six million, five hundred seventy-eight thousand, one hundred twelve".