48816493701696 has 896 divisors, whose sum is σ = 173773307520000. Its totient is φ = 13416694308864.

The previous prime is 48816493701683. The next prime is 48816493701749. The reversal of 48816493701696 is 69610739461884.

It is a happy number.

48816493701696 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 6 + 493 + 70 + 1 + 69 + 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, 4761186106 + ... + 4761196358.

Almost surely, 2^{48816493701696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48816493701696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86886653760000).

48816493701696 is an abundant number, since it is smaller than the sum of its proper divisors (124956813818304).

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

48816493701696 is a wasteful number, since it uses less digits than its factorization.

48816493701696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601 (or 10571 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 48816493701696 in words is "forty-eight trillion, eight hundred sixteen billion, four hundred ninety-three million, seven hundred one thousand, six hundred ninety-six".