56274681456 has 360 divisors, whose sum is σ = 186280140800. Its totient is φ = 15534021888.

The previous prime is 56274681439. The next prime is 56274681461. The reversal of 56274681456 is 65418647265.

56274681456 is a `hidden beast` number, since 5 + 62 + 74 + 68 + 1 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282787245 + ... + 282787443.

Almost surely, 2^56274681456 is an apocalyptic number.

56274681456 is a gapful number since it is divisible by the number (56) 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 56274681456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93140070400).

56274681456 is an abundant number, since it is smaller than the sum of its proper divisors (130005459344).

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

56274681456 is a wasteful number, since it uses less digits than its factorization.

56274681456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 385 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 56274681456 in words is "fifty-six billion, two hundred seventy-four million, six hundred eighty-one thousand, four hundred fifty-six".