86949094968 has 96 divisors (see below), whose sum is σ = 246090873600. Its totient is φ = 27706641984.

The previous prime is 86949094781. The next prime is 86949094993.

It is a happy number.

86949094968 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 86949094896 and 86949094905.

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, 153258 + ... + 444281.

It is an arithmetic number, because the mean of its divisors is an integer number (2563446600).

Almost surely, 2^86949094968 is an apocalyptic number.

It is an amenable number.

86949094968 is an abundant number, since it is smaller than the sum of its proper divisors (159141778632).

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

86949094968 is a wasteful number, since it uses less digits than its factorization.

86949094968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597641 (or 597634 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 86949094968 in words is "eighty-six billion, nine hundred forty-nine million, ninety-four thousand, nine hundred sixty-eight".