48116211607728 has 480 divisors, whose sum is σ = 157815158611968. Its totient is φ = 13538740723200.

The previous prime is 48116211607657. The next prime is 48116211607741. The reversal of 48116211607728 is 82770611261184.

It is a happy number.

48116211607728 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 6 + 2 + 1 + 1 + 607 + 7 + 28 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255257673 + ... + 255446103.

Almost surely, 2^{48116211607728} is an apocalyptic number.

48116211607728 is a gapful number since it is divisible by the number (48) 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 48116211607728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78907579305984).

48116211607728 is an abundant number, since it is smaller than the sum of its proper divisors (109698947004240).

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

48116211607728 is a wasteful number, since it uses less digits than its factorization.

48116211607728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188685 (or 188676 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 48116211607728 in words is "forty-eight trillion, one hundred sixteen billion, two hundred eleven million, six hundred seven thousand, seven hundred twenty-eight".