48258256896 has 416 divisors, whose sum is σ = 151920115200. Its totient is φ = 15111290880.

The previous prime is 48258256859. The next prime is 48258256903. The reversal of 48258256896 is 69865285284.

48258256896 is a `hidden beast` number, since 48 + 2 + 582 + 5 + 6 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131493705 + ... + 131494071.

Almost surely, 2^48258256896 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 48258256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75960057600).

48258256896 is an abundant number, since it is smaller than the sum of its proper divisors (103661858304).

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

48258256896 is a wasteful number, since it uses less digits than its factorization.

48258256896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 442 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 48258256896 in words is "forty-eight billion, two hundred fifty-eight million, two hundred fifty-six thousand, eight hundred ninety-six".