85972691445316 has 27 divisors (see below), whose sum is σ = 162916163550903. Its totient is φ = 39679592478240.

The previous prime is 85972691445281. The next prime is 85972691445373. The reversal of 85972691445316 is 61354419627958.

The square root of 85972691445316 is 9272146.

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

85972691445316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4487660100 + 85968203785216 = 66990^2 + 9271904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240897486 + ... + 241254106.

Almost surely, 2^{85972691445316} is an apocalyptic number.

85972691445316 is the 9272146-th square number.

It is an amenable number.

85972691445316 is a deficient number, since it is larger than the sum of its proper divisors (76943472105587).

85972691445316 is an frugal number, since it uses more digits than its factorization.

85972691445316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713272 (or 356636 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 70.

The spelling of 85972691445316 in words is "eighty-five trillion, nine hundred seventy-two billion, six hundred ninety-one million, four hundred forty-five thousand, three hundred sixteen".