48577798656 has 320 divisors, whose sum is σ = 153893900160. Its totient is φ = 15075901440.

The previous prime is 48577798627. The next prime is 48577798679. The reversal of 48577798656 is 65689777584.

48577798656 is a `hidden beast` number, since 48 + 577 + 7 + 9 + 8 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22794711 + ... + 22796841.

It is an arithmetic number, because the mean of its divisors is an integer number (480918438).

Almost surely, 2^48577798656 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 48577798656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76946950080).

48577798656 is an abundant number, since it is smaller than the sum of its proper divisors (105316101504).

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

48577798656 is a wasteful number, since it uses less digits than its factorization.

48577798656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2250 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 72.

The spelling of 48577798656 in words is "forty-eight billion, five hundred seventy-seven million, seven hundred ninety-eight thousand, six hundred fifty-six".