85356090634896 has 45 divisors (see below), whose sum is σ = 238878813923139. Its totient is φ = 28451993256288.

The previous prime is 85356090634883. The next prime is 85356090634897. The reversal of 85356090634896 is 69843609065358.

The square root of 85356090634896 is 9238836.

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

85356090634896 is a `hidden beast` number, since 8 + 5 + 3 + 5 + 609 + 0 + 6 + 3 + 4 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (85356090634897) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110481081 + ... + 111250983.

Almost surely, 2^{85356090634896} is an apocalyptic number.

85356090634896 is the 9238836-th square number.

It is an amenable number.

85356090634896 is an abundant number, since it is smaller than the sum of its proper divisors (153522723288243).

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

85356090634896 is an frugal number, since it uses more digits than its factorization.

85356090634896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539820 (or 769908 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 85356090634896 in words is "eighty-five trillion, three hundred fifty-six billion, ninety million, six hundred thirty-four thousand, eight hundred ninety-six".