56433024648 has 960 divisors, whose sum is σ = 224913870720. Its totient is φ = 12765081600.

The previous prime is 56433024647. The next prime is 56433024649. The reversal of 56433024648 is 84642033465.

56433024648 is a `hidden beast` number, since 564 + 3 + 3 + 0 + 2 + 46 + 48 = 666.

56433024648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56433024647) and next prime (56433024649).

It is not an unprimeable number, because it can be changed into a prime (56433024647) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 234161808 + ... + 234162048.

It is an arithmetic number, because the mean of its divisors is an integer number (234285282).

Almost surely, 2^56433024648 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 56433024648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112456935360).

56433024648 is an abundant number, since it is smaller than the sum of its proper divisors (168480846072).

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

56433024648 is a wasteful number, since it uses less digits than its factorization.

56433024648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 56433024648 in words is "fifty-six billion, four hundred thirty-three million, twenty-four thousand, six hundred forty-eight".