98631931312321 has 27 divisors (see below), whose sum is σ = 108990508339363. Its totient is φ = 89190772359920.

The previous prime is 98631931312309. The next prime is 98631931312351. The reversal of 98631931312321 is 12321313913689.

It is a happy number.

The square root of 98631931312321 is 9931361.

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., 96639418386225 + 1992512926096 = 9830535^2 + 1411564^2 .

It is a de Polignac number, because none of the positive numbers 2^k-98631931312321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98631931312301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21521256996 + ... + 21521261578.

Almost surely, 2^{98631931312321} is an apocalyptic number.

98631931312321 is the 9931361-st square number.

98631931312321 is the 4965681-st centered octagonal number.

It is an amenable number.

98631931312321 is a deficient number, since it is larger than the sum of its proper divisors (10358577027042).

98631931312321 is an frugal number, since it uses more digits than its factorization.

98631931312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582 (or 4791 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 52.

The spelling of 98631931312321 in words is "ninety-eight trillion, six hundred thirty-one billion, nine hundred thirty-one million, three hundred twelve thousand, three hundred twenty-one".