48829915584 has 280 divisors, whose sum is σ = 151519603488. Its totient is φ = 15519651840.

The previous prime is 48829915579. The next prime is 48829915633. The reversal of 48829915584 is 48551992884.

48829915584 is a `hidden beast` number, since 48 + 8 + 2 + 9 + 9 + 1 + 5 + 584 = 666.

It is a super-2 number, since 2×48829915584² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64504134 + ... + 64504890.

Almost surely, 2^48829915584 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 48829915584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75759801744).

48829915584 is an abundant number, since it is smaller than the sum of its proper divisors (102689687904).

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

48829915584 is a wasteful number, since it uses less digits than its factorization.

48829915584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1326 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 48829915584 in words is "forty-eight billion, eight hundred twenty-nine million, nine hundred fifteen thousand, five hundred eighty-four".