48059264138688 has 168 divisors, whose sum is σ = 150316487418240. Its totient is φ = 14559511196160.

The previous prime is 48059264138651. The next prime is 48059264138701. The reversal of 48059264138688 is 88683146295084.

48059264138688 is a `hidden beast` number, since 4 + 8 + 0 + 59 + 2 + 6 + 413 + 86 + 88 = 666.

It is a super-3 number, since 3×48059264138688³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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, 22675981 + ... + 24704627.

Almost surely, 2^{48059264138688} is an apocalyptic number.

48059264138688 is a gapful number since it is divisible by the number (48) 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 48059264138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75158243709120).

48059264138688 is an abundant number, since it is smaller than the sum of its proper divisors (102257223279552).

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

48059264138688 is a wasteful number, since it uses less digits than its factorization.

48059264138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032415 (or 2032402 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 48059264138688 in words is "forty-eight trillion, fifty-nine billion, two hundred sixty-four million, one hundred thirty-eight thousand, six hundred eighty-eight".