98949672549025 has 27 divisors (see below), whose sum is σ = 124405972279659. Its totient is φ = 78072493230720.

The previous prime is 98949672549023. The next prime is 98949672549031. The reversal of 98949672549025 is 52094527694989.

It is a happy number.

The square root of 98949672549025 is 9947345.

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

It can be written as a sum of positive squares in 13 ways, for example, as 55265292687969 + 43684379861056 = 7434063^2 + 6609416^2 .

It is not a de Polignac number, because 98949672549025 - 2¹ = 98949672549023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98949672549023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3630767299 + ... + 3630794551.

Almost surely, 2^{98949672549025} is an apocalyptic number.

98949672549025 is the 9947345-th square number.

98949672549025 is the 4973673-rd centered octagonal number.

It is an amenable number.

98949672549025 is a deficient number, since it is larger than the sum of its proper divisors (25456299730634).

98949672549025 is an frugal number, since it uses more digits than its factorization.

98949672549025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54662 (or 27331 counting only the distinct ones).

The product of its (nonzero) digits is 3527193600, while the sum is 79.

The spelling of 98949672549025 in words is "ninety-eight trillion, nine hundred forty-nine billion, six hundred seventy-two million, five hundred forty-nine thousand, twenty-five".