89466986772601 has 9 divisors (see below), whose sum is σ = 89525470272303. Its totient is φ = 89408541471480.

The previous prime is 89466986772587. The next prime is 89466986772613. The reversal of 89466986772601 is 10627768966498.

The square root of 89466986772601 is 9458699.

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

It can be written as a sum of positive squares in only one way, i.e., 86846538084201 + 2620448688400 = 9319149^2 + 1618780^2 .

It is not a de Polignac number, because 89466986772601 - 2³⁷ = 89329547819129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89466986772661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26399227215 + ... + 26399230603.

Almost surely, 2^{89466986772601} is an apocalyptic number.

89466986772601 is the 9458699-th square number.

89466986772601 is the 4729350-th centered octagonal number.

It is an amenable number.

89466986772601 is a deficient number, since it is larger than the sum of its proper divisors (58483499702).

89466986772601 is an frugal number, since it uses more digits than its factorization.

89466986772601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12360 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 79.

The spelling of 89466986772601 in words is "eighty-nine trillion, four hundred sixty-six billion, nine hundred eighty-six million, seven hundred seventy-two thousand, six hundred one".