48576346416 has 120 divisors (see below), whose sum is σ = 146646006416. Its totient is φ = 14921832960.

The previous prime is 48576346387. The next prime is 48576346433. The reversal of 48576346416 is 61464367584.

48576346416 is a `hidden beast` number, since 4 + 8 + 576 + 3 + 4 + 64 + 1 + 6 = 666.

It is a super-2 number, since 2×48576346416² (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 23 ways as a sum of consecutive naturals, for example, 1126371 + ... + 1168701.

Almost surely, 2^48576346416 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 48576346416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73323003208).

48576346416 is an abundant number, since it is smaller than the sum of its proper divisors (98069660000).

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

48576346416 is a wasteful number, since it uses less digits than its factorization.

48576346416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42971 (or 42962 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 48576346416 in words is "forty-eight billion, five hundred seventy-six million, three hundred forty-six thousand, four hundred sixteen".