85338912723408 has 120 divisors (see below), whose sum is σ = 248475856019456. Its totient is φ = 27311920070400.

The previous prime is 85338912723329. The next prime is 85338912723419. The reversal of 85338912723408 is 80432721983358.

85338912723408 is a `hidden beast` number, since 8 + 5 + 3 + 3 + 89 + 127 + 23 + 408 = 666.

It is a super-2 number, since 2×85338912723408² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74697403 + ... + 75831258.

Almost surely, 2^{85338912723408} is an apocalyptic number.

It is an amenable number.

85338912723408 is an abundant number, since it is smaller than the sum of its proper divisors (163136943296048).

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

85338912723408 is a wasteful number, since it uses less digits than its factorization.

85338912723408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150528833 (or 150528824 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 85338912723408 in words is "eighty-five trillion, three hundred thirty-eight billion, nine hundred twelve million, seven hundred twenty-three thousand, four hundred eight".