98890315698321 has 135 divisors (see below), whose sum is σ = 178006084146891. Its totient is φ = 54550150262496.

The previous prime is 98890315698287. The next prime is 98890315698347. The reversal of 98890315698321 is 12389651309889.

The square root of 98890315698321 is 9944361.

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

98890315698321 is a `hidden beast` number, since 9 + 8 + 8 + 9 + 0 + 31 + 569 + 8 + 3 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51855682785921 + 47034632912400 = 7201089^2 + 6858180^2 .

It is not a de Polignac number, because 98890315698321 - 2⁷ = 98890315698193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 98890315698321.

It is not an unprimeable number, because it can be changed into a prime (98890315698521) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 18168344826 + ... + 18168350268.

Almost surely, 2^{98890315698321} is an apocalyptic number.

98890315698321 is the 9944361-st square number.

98890315698321 is the 4972181-st centered octagonal number.

It is an amenable number.

98890315698321 is a deficient number, since it is larger than the sum of its proper divisors (79115768448570).

98890315698321 is an frugal number, since it uses more digits than its factorization.

98890315698321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10970 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 98890315698321 in words is "ninety-eight trillion, eight hundred ninety billion, three hundred fifteen million, six hundred ninety-eight thousand, three hundred twenty-one".