48639058642944 has 2592 divisors, whose sum is σ = 192863427382080. Its totient is φ = 11735155998720.

The previous prime is 48639058642927. The next prime is 48639058642957. The reversal of 48639058642944 is 44924685093684.

It is a happy number.

48639058642944 is a `hidden beast` number, since 4 + 8 + 6 + 39 + 0 + 586 + 4 + 2 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 93000111867 + ... + 93000112389.

It is an arithmetic number, because the mean of its divisors is an integer number (74407186490).

Almost surely, 2^{48639058642944} is an apocalyptic number.

48639058642944 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 48639058642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96431713691040).

48639058642944 is an abundant number, since it is smaller than the sum of its proper divisors (144224368739136).

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

48639058642944 is a wasteful number, since it uses less digits than its factorization.

48639058642944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 48639058642944 in words is "forty-eight trillion, six hundred thirty-nine billion, fifty-eight million, six hundred forty-two thousand, nine hundred forty-four".