48592821864816 has 180 divisors, whose sum is σ = 141043264628760. Its totient is φ = 15616820102400.

The previous prime is 48592821864781. The next prime is 48592821864871. The reversal of 48592821864816 is 61846812829584.

48592821864816 is a `hidden beast` number, since 4 + 8 + 59 + 2 + 82 + 18 + 6 + 481 + 6 = 666.

It is a super-2 number, since 2×48592821864816² (a number of 28 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 36572611 + ... + 37877981.

It is an arithmetic number, because the mean of its divisors is an integer number (783573692382).

Almost surely, 2^{48592821864816} 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 48592821864816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70521632314380).

48592821864816 is an abundant number, since it is smaller than the sum of its proper divisors (92450442763944).

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

48592821864816 is a wasteful number, since it uses less digits than its factorization.

48592821864816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305716 (or 1305676 counting only the distinct ones).

The product of its digits is 424673280, while the sum is 72.

The spelling of 48592821864816 in words is "forty-eight trillion, five hundred ninety-two billion, eight hundred twenty-one million, eight hundred sixty-four thousand, eight hundred sixteen".