98864979089569 has 81 divisors (see below), whose sum is σ = 127464960142611. Its totient is φ = 76401089614080.

The previous prime is 98864979089561. The next prime is 98864979089587. The reversal of 98864979089569 is 96598097946889.

The square root of 98864979089569 is 9943087.

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., 1906296591969 + 96958682497600 = 1380687^2 + 9846760^2 .

It is not a de Polignac number, because 98864979089569 - 2³ = 98864979089561 is a prime.

It is a super-2 number, since 2×98864979089569² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98864979089561) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 106420859697 + ... + 106420860625.

Almost surely, 2^{98864979089569} is an apocalyptic number.

98864979089569 is the 9943087-th square number.

98864979089569 is the 4971544-th centered octagonal number.

It is an amenable number.

98864979089569 is a deficient number, since it is larger than the sum of its proper divisors (28599981053042).

98864979089569 is an frugal number, since it uses more digits than its factorization.

98864979089569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 152374763520, while the sum is 97.

The spelling of 98864979089569 in words is "ninety-eight trillion, eight hundred sixty-four billion, nine hundred seventy-nine million, eighty-nine thousand, five hundred sixty-nine".