48576858624 has 720 divisors, whose sum is σ = 177421852608. Its totient is φ = 12995002368.

The previous prime is 48576858569. The next prime is 48576858643. The reversal of 48576858624 is 42685867584.

48576858624 is a `hidden beast` number, since 4 + 8 + 576 + 8 + 58 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×48576858624² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251693472 + ... + 251693664.

Almost surely, 2^48576858624 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 48576858624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88710926304).

48576858624 is an abundant number, since it is smaller than the sum of its proper divisors (128844993984).

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

48576858624 is an equidigital number, since it uses as much as digits as its factorization.

48576858624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 222 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 48576858624 in words is "forty-eight billion, five hundred seventy-six million, eight hundred fifty-eight thousand, six hundred twenty-four".