48607613164800 has 162 divisors, whose sum is σ = 173783187738342. Its totient is φ = 12962030161920.

The previous prime is 48607613164793. The next prime is 48607613164823. The reversal of 48607613164800 is 846131670684.

48607613164800 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 7 + 613 + 16 + 4 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 433574839296 + 48174038325504 = 658464^2 + 6940752^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 421883487 + ... + 421998686.

Almost surely, 2^{48607613164800} is an apocalyptic number.

48607613164800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48607613164800 is an abundant number, since it is smaller than the sum of its proper divisors (125175574573542).

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

48607613164800 is a wasteful number, since it uses less digits than its factorization.

48607613164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843882205 (or 843882183 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 48607613164800 in words is "forty-eight trillion, six hundred seven billion, six hundred thirteen million, one hundred sixty-four thousand, eight hundred".