48656684160 has 768 divisors, whose sum is σ = 198571576320. Its totient is φ = 10749542400.

The previous prime is 48656684159. The next prime is 48656684179. The reversal of 48656684160 is 6148665684.

48656684160 is a `hidden beast` number, since 486 + 5 + 6 + 68 + 41 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 48656684097 and 48656684106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179544825 + ... + 179545095.

It is an arithmetic number, because the mean of its divisors is an integer number (258556740).

Almost surely, 2^48656684160 is an apocalyptic number.

48656684160 is a gapful number since it is divisible by the number (40) 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 48656684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99285788160).

48656684160 is an abundant number, since it is smaller than the sum of its proper divisors (149914892160).

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

48656684160 is a wasteful number, since it uses less digits than its factorization.

48656684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 48656684160 in words is "forty-eight billion, six hundred fifty-six million, six hundred eighty-four thousand, one hundred sixty".