816789752352 has 72 divisors (see below), whose sum is σ = 2654566701696. Its totient is φ = 233368500096.

The previous prime is 816789752333. The next prime is 816789752393. The reversal of 816789752352 is 253257987618.

816789752352 is a `hidden beast` number, since 8 + 16 + 7 + 8 + 97 + 523 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 816789752352.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202574808 + ... + 202578839.

It is an arithmetic number, because the mean of its divisors is an integer number (36868981968).

Almost surely, 2^816789752352 is an apocalyptic number.

It is an amenable number.

816789752352 is an abundant number, since it is smaller than the sum of its proper divisors (1837776949344).

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

816789752352 is a wasteful number, since it uses less digits than its factorization.

816789752352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405153670 (or 405153659 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 816789752352 in words is "eight hundred sixteen billion, seven hundred eighty-nine million, seven hundred fifty-two thousand, three hundred fifty-two".