48680591970816 has 1280 divisors, whose sum is σ = 164138094489600. Its totient is φ = 14217818554368.

The previous prime is 48680591970779. The next prime is 48680591970827. The reversal of 48680591970816 is 61807919508684.

48680591970816 is a `hidden beast` number, since 486 + 8 + 0 + 59 + 1 + 97 + 0 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158568703335 + ... + 158568703641.

It is an arithmetic number, because the mean of its divisors is an integer number (128232886320).

Almost surely, 2^{48680591970816} is an apocalyptic number.

48680591970816 is a gapful number since it is divisible by the number (46) 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 48680591970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82069047244800).

48680591970816 is an abundant number, since it is smaller than the sum of its proper divisors (115457502518784).

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

48680591970816 is a wasteful number, since it uses less digits than its factorization.

48680591970816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 48680591970816 in words is "forty-eight trillion, six hundred eighty billion, five hundred ninety-one million, nine hundred seventy thousand, eight hundred sixteen".