86954845968 has 30 divisors (see below), whose sum is σ = 243352798494. Its totient is φ = 28984948608.

The previous prime is 86954845951. The next prime is 86954845981.

86954845968 is a `hidden beast` number, since 8 + 6 + 95 + 484 + 59 + 6 + 8 = 666.

86954845968 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 84813747984 + 2141097984 = 291228^2 + 46272^2 .

It is a super-2 number, since 2×86954845968² (a number of 23 digits) contains 22 as substring.

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 = 86954845896 and 86954845905.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 301926405 + ... + 301926692.

Almost surely, 2^86954845968 is an apocalyptic number.

It is an amenable number.

86954845968 is an abundant number, since it is smaller than the sum of its proper divisors (156397952526).

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

86954845968 is a wasteful number, since it uses less digits than its factorization.

86954845968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603853111 (or 603853102 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 86954845968 in words is "eighty-six billion, nine hundred fifty-four million, eight hundred forty-five thousand, nine hundred sixty-eight".