86594988961 has 8 divisors (see below), whose sum is σ = 93260016360. Its totient is φ = 79930515072.

The previous prime is 86594988947. The next prime is 86594988967. The reversal of 86594988961 is 16988949568.

86594988961 = 208080² + 208081².

It can be written as a sum of positive squares in 4 ways, for example, as 34858757025 + 51736231936 = 186705^2 + 227456^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 86594988961 - 2¹⁵ = 86594956193 is a prime.

It is a super-3 number, since 3×86594988961³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86594988967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221175 + ... + 471283.

It is an arithmetic number, because the mean of its divisors is an integer number (11657502045).

Almost surely, 2^86594988961 is an apocalyptic number.

86594988961 is the 208081-st centered square number.

It is an amenable number.

86594988961 is a deficient number, since it is larger than the sum of its proper divisors (6665027399).

86594988961 is a wasteful number, since it uses less digits than its factorization.

86594988961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276755.

The product of its digits is 268738560, while the sum is 73.

The spelling of 86594988961 in words is "eighty-six billion, five hundred ninety-four million, nine hundred eighty-eight thousand, nine hundred sixty-one".