85612419216 has 135 divisors (see below), whose sum is σ = 246620680761. Its totient is φ = 27724056192.

The previous prime is 85612419209. The next prime is 85612419241. The reversal of 85612419216 is 61291421658.

The square root of 85612419216 is 292596.

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

85612419216 is a `hidden beast` number, since 8 + 5 + 6 + 12 + 419 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76607168400 + 9005250816 = 276780^2 + 94896^2 .

It is a super-2 number, since 2×85612419216² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129912295 + ... + 129912953.

Almost surely, 2^85612419216 is an apocalyptic number.

85612419216 is the 292596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85612419216

85612419216 is an abundant number, since it is smaller than the sum of its proper divisors (161008261545).

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

85612419216 is an equidigital number, since it uses as much as digits as its factorization.

85612419216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 701 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 85612419216 in words is "eighty-five billion, six hundred twelve million, four hundred nineteen thousand, two hundred sixteen".