48007491591744 has 672 divisors, whose sum is σ = 158439600783360. Its totient is φ = 13797336268800.

The previous prime is 48007491591739. The next prime is 48007491591821. The reversal of 48007491591744 is 44719519470084.

48007491591744 is a `hidden beast` number, since 4 + 80 + 0 + 7 + 491 + 59 + 17 + 4 + 4 = 666.

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, 9937379409 + ... + 9937384239.

Almost surely, 2^{48007491591744} 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 48007491591744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79219800391680).

48007491591744 is an abundant number, since it is smaller than the sum of its proper divisors (110432109191616).

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

48007491591744 is a wasteful number, since it uses less digits than its factorization.

48007491591744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 48007491591744 in words is "forty-eight trillion, seven billion, four hundred ninety-one million, five hundred ninety-one thousand, seven hundred forty-four".