48844289952864 has 1728 divisors, whose sum is σ = 180194216896512. Its totient is φ = 12951854899200.

The previous prime is 48844289952851. The next prime is 48844289952907. The reversal of 48844289952864 is 46825998244884.

48844289952864 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 4 + 2 + 89 + 9 + 528 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31903519779 + ... + 31903521309.

It is an arithmetic number, because the mean of its divisors is an integer number (104279060704).

Almost surely, 2^{48844289952864} 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 48844289952864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90097108448256).

48844289952864 is an abundant number, since it is smaller than the sum of its proper divisors (131349926943648).

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

48844289952864 is a wasteful number, since it uses less digits than its factorization.

48844289952864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1684 counting only the distinct ones).

The product of its digits is 10192158720, while the sum is 81.

The spelling of 48844289952864 in words is "forty-eight trillion, eight hundred forty-four billion, two hundred eighty-nine million, nine hundred fifty-two thousand, eight hundred sixty-four".