48556465584 has 240 divisors, whose sum is σ = 141290394336. Its totient is φ = 14353264640.

The previous prime is 48556465561. The next prime is 48556465619.

48556465584 is nontrivially palindromic in base 10.

48556465584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48556465584² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71722654 + ... + 71723330.

Almost surely, 2^48556465584 is an apocalyptic number.

48556465584 is a gapful number since it is divisible by the number (44) 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 48556465584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70645197168).

48556465584 is an abundant number, since it is smaller than the sum of its proper divisors (92733928752).

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

48556465584 is a wasteful number, since it uses less digits than its factorization.

48556465584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 979 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 60.

The spelling of 48556465584 in words is "forty-eight billion, five hundred fifty-six million, four hundred sixty-five thousand, five hundred eighty-four".