85815322114608 has 400 divisors, whose sum is σ = 256462531776000. Its totient is φ = 27686334574080.

The previous prime is 85815322114603. The next prime is 85815322114633. The reversal of 85815322114608 is 80641122351858.

85815322114608 is a `hidden beast` number, since 8 + 5 + 8 + 1 + 5 + 3 + 2 + 21 + 1 + 4 + 608 = 666.

It is a super-3 number, since 3×85815322114608³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85815322114603) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5248956418 + ... + 5248972766.

It is an arithmetic number, because the mean of its divisors is an integer number (641156329440).

Almost surely, 2^{85815322114608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85815322114608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128231265888000).

85815322114608 is an abundant number, since it is smaller than the sum of its proper divisors (170647209661392).

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

85815322114608 is a wasteful number, since it uses less digits than its factorization.

85815322114608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17262 (or 17247 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 85815322114608 in words is "eighty-five trillion, eight hundred fifteen billion, three hundred twenty-two million, one hundred fourteen thousand, six hundred eight".