86016354408 has 128 divisors (see below), whose sum is σ = 253549440000. Its totient is φ = 26960573376.

The previous prime is 86016354397. The next prime is 86016354421. The reversal of 86016354408 is 80445361068.

86016354408 is a `hidden beast` number, since 8 + 6 + 0 + 1 + 635 + 4 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×86016354408² (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 31 ways as a sum of consecutive naturals, for example, 146383 + ... + 439841.

It is an arithmetic number, because the mean of its divisors is an integer number (1980855000).

Almost surely, 2^86016354408 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 86016354408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126774720000).

86016354408 is an abundant number, since it is smaller than the sum of its proper divisors (167533085592).

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

86016354408 is a wasteful number, since it uses less digits than its factorization.

86016354408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293556 (or 293546 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 86016354408 in words is "eighty-six billion, sixteen million, three hundred fifty-four thousand, four hundred eight".