98973789201 has 81 divisors (see below), whose sum is σ = 169481393289. Its totient is φ = 55495616400.

The previous prime is 98973789151. The next prime is 98973789253. The reversal of 98973789201 is 10298737989.

The square root of 98973789201 is 314601.

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

98973789201 is a `hidden beast` number, since 98 + 97 + 378 + 92 + 0 + 1 = 666.

It is not a de Polignac number, because 98973789201 - 2⁷ = 98973789073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (98973789701) 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, 469069986 + ... + 469070196.

Almost surely, 2^98973789201 is an apocalyptic number.

98973789201 is the 314601-st square number.

98973789201 is the 157301-st centered octagonal number.

It is an amenable number.

98973789201 is a deficient number, since it is larger than the sum of its proper divisors (70507604088).

98973789201 is an equidigital number, since it uses as much as digits as its factorization.

98973789201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 98973789201 in words is "ninety-eight billion, nine hundred seventy-three million, seven hundred eighty-nine thousand, two hundred one".