56457341136 has 120 divisors (see below), whose sum is σ = 181491133824. Its totient is φ = 16048730880.

The previous prime is 56457341123. The next prime is 56457341147. The reversal of 56457341136 is 63114375465.

56457341136 is a `hidden beast` number, since 5 + 6 + 4 + 573 + 41 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56457341091 and 56457341100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56421 + ... + 340731.

Almost surely, 2^56457341136 is an apocalyptic number.

56457341136 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 56457341136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90745566912).

56457341136 is an abundant number, since it is smaller than the sum of its proper divisors (125033792688).

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

56457341136 is a wasteful number, since it uses less digits than its factorization.

56457341136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284529 (or 284520 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 56457341136 in words is "fifty-six billion, four hundred fifty-seven million, three hundred forty-one thousand, one hundred thirty-six".