48558305887641 has 81 divisors (see below), whose sum is σ = 80602294600191. Its totient is φ = 28146676456800.

The previous prime is 48558305887613. The next prime is 48558305887717. The reversal of 48558305887641 is 14678850385584.

The square root of 48558305887641 is 6968379.

It is a perfect power (a square), and thus also a powerful number.

48558305887641 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 8 + 30 + 588 + 7 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31384409548041 + 17173896339600 = 5602179^2 + 4144140^2 .

It is not a de Polignac number, because 48558305887641 - 2⁷ = 48558305887513 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 48558305887641.

It is not an unprimeable number, because it can be changed into a prime (48558305887841) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5288995071 + ... + 5289004251.

Almost surely, 2^{48558305887641} is an apocalyptic number.

48558305887641 is the 6968379-th square number.

48558305887641 is the 3484190-th centered octagonal number.

It is an amenable number.

48558305887641 is a deficient number, since it is larger than the sum of its proper divisors (32043988712550).

48558305887641 is an frugal number, since it uses more digits than its factorization.

48558305887641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18436 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 1032192000, while the sum is 72.

The spelling of 48558305887641 in words is "forty-eight trillion, five hundred fifty-eight billion, three hundred five million, eight hundred eighty-seven thousand, six hundred forty-one".