853825230802944 has 117 divisors (see below), whose sum is σ = 2466321328575013. Its totient is φ = 284606540169216.

The previous prime is 853825230802937. The next prime is 853825230802963. The reversal of 853825230802944 is 449208032528358.

The square root of 853825230802944 is 29220288.

It is a perfect power (a square), and thus also a powerful number.

853825230802944 is a `hidden beast` number, since 8 + 5 + 3 + 8 + 2 + 523 + 0 + 80 + 29 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 399787548217344 + 454037682585600 = 19994688^2 + 21308160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5610219202 + ... + 5610371390.

Almost surely, 2^{853825230802944} is an apocalyptic number.

853825230802944 is the 29220288-th square number.

It is an amenable number.

853825230802944 is an abundant number, since it is smaller than the sum of its proper divisors (1612496097772069).

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

853825230802944 is an frugal number, since it uses more digits than its factorization.

853825230802944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304408 (or 152194 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 853825230802944 in words is "eight hundred fifty-three trillion, eight hundred twenty-five billion, two hundred thirty million, eight hundred two thousand, nine hundred forty-four".