863831906836992 has 480 divisors, whose sum is σ = 2600353810454400. Its totient is φ = 286284854919168.

The previous prime is 863831906836957. The next prime is 863831906837047. The reversal of 863831906836992 is 299638609138368.

863831906836992 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 3 + 190 + 68 + 369 + 9 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15052192234 + ... + 15052249622.

It is an arithmetic number, because the mean of its divisors is an integer number (5417403771780).

Almost surely, 2^{863831906836992} 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 863831906836992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300176905227200).

863831906836992 is an abundant number, since it is smaller than the sum of its proper divisors (1736521903617408).

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

863831906836992 is an equidigital number, since it uses as much as digits as its factorization.

863831906836992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58118 (or 58090 counting only the distinct ones).

The product of its (nonzero) digits is 4353564672, while the sum is 81.

The spelling of 863831906836992 in words is "eight hundred sixty-three trillion, eight hundred thirty-one billion, nine hundred six million, eight hundred thirty-six thousand, nine hundred ninety-two".