48604645800 has 576 divisors, whose sum is σ = 176491560960. Its totient is φ = 11962944000.

The previous prime is 48604645783. The next prime is 48604645813. The reversal of 48604645800 is 854640684.

48604645800 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 4 + 64 + 580 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112771585 + ... + 112772015.

It is an arithmetic number, because the mean of its divisors is an integer number (306408960).

Almost surely, 2^48604645800 is an apocalyptic number.

48604645800 is a gapful number since it is divisible by the number (40) 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 48604645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88245780480).

48604645800 is an abundant number, since it is smaller than the sum of its proper divisors (127886915160).

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

48604645800 is a wasteful number, since it uses less digits than its factorization.

48604645800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 48604645800 in words is "forty-eight billion, six hundred four million, six hundred forty-five thousand, eight hundred".