863339945832 has 1152 divisors, whose sum is σ = 3342891202560. Its totient is φ = 198242795520.

The previous prime is 863339945827. The next prime is 863339945843. The reversal of 863339945832 is 238549933368.

863339945832 is a `hidden beast` number, since 8 + 63 + 3 + 3 + 99 + 458 + 32 = 666.

It is a super-4 number, since 4×863339945832⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 863339945832.

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, 555916768 + ... + 555918320.

It is an arithmetic number, because the mean of its divisors is an integer number (2901815280).

Almost surely, 2^863339945832 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 863339945832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671445601280).

863339945832 is an abundant number, since it is smaller than the sum of its proper divisors (2479551256728).

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

863339945832 is a wasteful number, since it uses less digits than its factorization.

863339945832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1649 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 863339945832 in words is "eight hundred sixty-three billion, three hundred thirty-nine million, nine hundred forty-five thousand, eight hundred thirty-two".