86153407716996 has 27 divisors (see below), whose sum is σ = 217776810282213. Its totient is φ = 28717784008560.

The previous prime is 86153407716977. The next prime is 86153407717001. The reversal of 86153407716996 is 69961770435168.

The square root of 86153407716996 is 9281886.

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

86153407716996 is a `hidden beast` number, since 8 + 6 + 1 + 5 + 3 + 407 + 71 + 69 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71112351958596 + 15041055758400 = 8432814^2 + 3878280^2 .

It is a super-2 number, since 2×86153407716996² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 54917826 + ... + 56464806.

Almost surely, 2^{86153407716996} is an apocalyptic number.

86153407716996 is the 9281886-th square number.

It is an amenable number.

86153407716996 is an abundant number, since it is smaller than the sum of its proper divisors (131623402565217).

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

86153407716996 is an frugal number, since it uses more digits than its factorization.

86153407716996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093972 (or 1546986 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 86153407716996 in words is "eighty-six trillion, one hundred fifty-three billion, four hundred seven million, seven hundred sixteen thousand, nine hundred ninety-six".