48319187656896 has 1792 divisors, whose sum is σ = 172744175923200. Its totient is φ = 13093016961024.

The previous prime is 48319187656877. The next prime is 48319187656907. The reversal of 48319187656896 is 69865678191384.

It is a happy number.

48319187656896 is a `hidden beast` number, since 4 + 8 + 31 + 9 + 18 + 7 + 6 + 568 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88334894895 + ... + 88334895441.

It is an arithmetic number, because the mean of its divisors is an integer number (96397419600).

Almost surely, 2^{48319187656896} is an apocalyptic number.

48319187656896 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 48319187656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86372087961600).

48319187656896 is an abundant number, since it is smaller than the sum of its proper divisors (124424988266304).

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

48319187656896 is a wasteful number, since it uses less digits than its factorization.

48319187656896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 807 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 48319187656896 in words is "forty-eight trillion, three hundred nineteen billion, one hundred eighty-seven million, six hundred fifty-six thousand, eight hundred ninety-six".