48817956096 has 720 divisors, whose sum is σ = 183819111168. Its totient is φ = 12541132800.

The previous prime is 48817955993. The next prime is 48817956097. The reversal of 48817956096 is 69065971884.

48817956096 is a `hidden beast` number, since 4 + 8 + 8 + 17 + 9 + 5 + 609 + 6 = 666.

It is a super-2 number, since 2×48817956096² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48817956097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77365701 + ... + 77366331.

Almost surely, 2^48817956096 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 48817956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91909555584).

48817956096 is an abundant number, since it is smaller than the sum of its proper divisors (135001155072).

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

48817956096 is a wasteful number, since it uses less digits than its factorization.

48817956096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 48817956096 in words is "forty-eight billion, eight hundred seventeen million, nine hundred fifty-six thousand, ninety-six".