816446904525 has 180 divisors, whose sum is σ = 1725239929140. Its totient is φ = 369017510400.

The previous prime is 816446904521. The next prime is 816446904563. The reversal of 816446904525 is 525409644618.

It is a happy number.

816446904525 is a `hidden beast` number, since 8 + 1 + 64 + 46 + 90 + 452 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 203319081 + 816243585444 = 14259^2 + 903462^2 .

It is not a de Polignac number, because 816446904525 - 2² = 816446904521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816446904521) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 48071535 + ... + 48088515.

It is an arithmetic number, because the mean of its divisors is an integer number (9584666273).

Almost surely, 2^816446904525 is an apocalyptic number.

It is an amenable number.

816446904525 is an abundant number, since it is smaller than the sum of its proper divisors (908793024615).

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

816446904525 is a wasteful number, since it uses less digits than its factorization.

816446904525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17114 (or 17085 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 816446904525 in words is "eight hundred sixteen billion, four hundred forty-six million, nine hundred four thousand, five hundred twenty-five".