48538820631168 has 192 divisors, whose sum is σ = 160297067923200. Its totient is φ = 13810207832064.

The previous prime is 48538820631149. The next prime is 48538820631173. The reversal of 48538820631168 is 86113602883584.

48538820631168 is a `hidden beast` number, since 4 + 8 + 5 + 388 + 206 + 31 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10665171 + ... + 14519762.

It is an arithmetic number, because the mean of its divisors is an integer number (834880562100).

Almost surely, 2^{48538820631168} is an apocalyptic number.

48538820631168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48538820631168 is an abundant number, since it is smaller than the sum of its proper divisors (111758247292032).

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

48538820631168 is a wasteful number, since it uses less digits than its factorization.

48538820631168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25185199 (or 25185184 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 48538820631168 in words is "forty-eight trillion, five hundred thirty-eight billion, eight hundred twenty million, six hundred thirty-one thousand, one hundred sixty-eight".