48576160964160 has 336 divisors, whose sum is σ = 172025817595632. Its totient is φ = 12573543628800.

The previous prime is 48576160964147. The next prime is 48576160964171. The reversal of 48576160964160 is 6146906167584.

It is a happy number.

48576160964160 is a `hidden beast` number, since 4 + 8 + 5 + 7 + 6 + 1 + 609 + 6 + 4 + 16 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3639731364864 + 44936429599296 = 1907808^2 + 6703464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22217640 + ... + 24305880.

It is an arithmetic number, because the mean of its divisors is an integer number (511981599987).

Almost surely, 2^{48576160964160} is an apocalyptic number.

48576160964160 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 48576160964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86012908797816).

48576160964160 is an abundant number, since it is smaller than the sum of its proper divisors (123449656631472).

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

48576160964160 is a wasteful number, since it uses less digits than its factorization.

48576160964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088502 (or 2088489 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

It can be divided in two parts, 485761 and 60964160, that added together give a square (61449921 = 7839²).

The spelling of 48576160964160 in words is "forty-eight trillion, five hundred seventy-six billion, one hundred sixty million, nine hundred sixty-four thousand, one hundred sixty".