48730356864 has 768 divisors, whose sum is σ = 178784686080. Its totient is φ = 12908408832.

The previous prime is 48730356817. The next prime is 48730356889. The reversal of 48730356864 is 46865303784.

48730356864 is a `hidden beast` number, since 4 + 8 + 73 + 0 + 3 + 568 + 6 + 4 = 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 48730356864.

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, 185286397 + ... + 185286659.

It is an arithmetic number, because the mean of its divisors is an integer number (232792560).

Almost surely, 2^48730356864 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 48730356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89392343040).

48730356864 is an abundant number, since it is smaller than the sum of its proper divisors (130054329216).

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

48730356864 is a wasteful number, since it uses less digits than its factorization.

48730356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 48730356864 in words is "forty-eight billion, seven hundred thirty million, three hundred fifty-six thousand, eight hundred sixty-four".