48954132864 has 768 divisors, whose sum is σ = 186201489600. Its totient is φ = 12541132800.

The previous prime is 48954132847. The next prime is 48954132883. The reversal of 48954132864 is 46823145984.

48954132864 is a `hidden beast` number, since 4 + 8 + 9 + 541 + 32 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48954132864.

It is a congruent number.

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, 81454164 + ... + 81454764.

Almost surely, 2^48954132864 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 48954132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93100744800).

48954132864 is an abundant number, since it is smaller than the sum of its proper divisors (137247356736).

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

48954132864 is a wasteful number, since it uses less digits than its factorization.

48954132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 663 counting only the distinct ones).

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

The spelling of 48954132864 in words is "forty-eight billion, nine hundred fifty-four million, one hundred thirty-two thousand, eight hundred sixty-four".