48947652864 has 576 divisors, whose sum is σ = 171735244800. Its totient is φ = 13586227200.

The previous prime is 48947652857. The next prime is 48947652899. The reversal of 48947652864 is 46825674984.

48947652864 is a `hidden beast` number, since 4 + 8 + 9 + 47 + 6 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44782302 + ... + 44783394.

Almost surely, 2^48947652864 is an apocalyptic number.

48947652864 is a gapful number since it is divisible by the number (44) 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 48947652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85867622400).

48947652864 is an abundant number, since it is smaller than the sum of its proper divisors (122787591936).

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

48947652864 is a wasteful number, since it uses less digits than its factorization.

48947652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1159 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 48947652864 in words is "forty-eight billion, nine hundred forty-seven million, six hundred fifty-two thousand, eight hundred sixty-four".