48059867638656 has 512 divisors, whose sum is σ = 158147458560000. Its totient is φ = 14279007338496.

The previous prime is 48059867638649. The next prime is 48059867638667. The reversal of 48059867638656 is 65683676895084.

48059867638656 is a `hidden beast` number, since 4 + 80 + 5 + 98 + 6 + 76 + 386 + 5 + 6 = 666.

It is a super-3 number, since 3×48059867638656³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4207283761 + ... + 4207295183.

It is an arithmetic number, because the mean of its divisors is an integer number (308881755000).

Almost surely, 2^{48059867638656} 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 48059867638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79073729280000).

48059867638656 is an abundant number, since it is smaller than the sum of its proper divisors (110087590921344).

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

48059867638656 is a wasteful number, since it uses less digits than its factorization.

48059867638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15251 (or 15233 counting only the distinct ones).

The product of its (nonzero) digits is 12541132800, while the sum is 81.

The spelling of 48059867638656 in words is "forty-eight trillion, fifty-nine billion, eight hundred sixty-seven million, six hundred thirty-eight thousand, six hundred fifty-six".