98093613601 has 9 divisors (see below), whose sum is σ = 100557658803. Its totient is φ = 95688558480.

The previous prime is 98093613589. The next prime is 98093613617. The reversal of 98093613601 is 10631639089.

The square root of 98093613601 is 313199.

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., 4726700001 + 93366913600 = 68751^2 + 305560^2 .

It is not a de Polignac number, because 98093613601 - 2²⁵ = 98060059169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98093613671) 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, 12837340 + ... + 12844978.

Almost surely, 2^98093613601 is an apocalyptic number.

98093613601 is the 313199-th square number.

98093613601 is the 156600-th centered octagonal number.

It is an amenable number.

98093613601 is a deficient number, since it is larger than the sum of its proper divisors (2464045202).

98093613601 is an frugal number, since it uses more digits than its factorization.

98093613601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15360 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 46.

The spelling of 98093613601 in words is "ninety-eight billion, ninety-three million, six hundred thirteen thousand, six hundred one".