48932714304 has 560 divisors, whose sum is σ = 162570566400. Its totient is φ = 14485008384.

The previous prime is 48932714297. The next prime is 48932714377. The reversal of 48932714304 is 40341723984.

48932714304 is a `hidden beast` number, since 4 + 8 + 9 + 327 + 14 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 48932714304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105685977 + ... + 105686439.

Almost surely, 2^48932714304 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 48932714304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285283200).

48932714304 is an abundant number, since it is smaller than the sum of its proper divisors (113637852096).

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

48932714304 is a wasteful number, since it uses less digits than its factorization.

48932714304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 48932714304 in words is "forty-eight billion, nine hundred thirty-two million, seven hundred fourteen thousand, three hundred four".