98813838465225 has 243 divisors, whose sum is σ = 202341216186837. Its totient is φ = 46069277005440.

The previous prime is 98813838465217. The next prime is 98813838465229. The reversal of 98813838465225 is 52256483831889.

The square root of 98813838465225 is 9940515.

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

98813838465225 is a `hidden beast` number, since 9 + 8 + 8 + 13 + 8 + 3 + 84 + 6 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25469413038729 + 73344425426496 = 5046723^2 + 8564136^2 .

It is not a de Polignac number, because 98813838465225 - 2³ = 98813838465217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (98813838465229) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 36829606734 + ... + 36829609416.

Almost surely, 2^{98813838465225} is an apocalyptic number.

98813838465225 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

98813838465225 is the 9940515-th square number.

98813838465225 is the 4970258-th centered octagonal number.

It is an amenable number.

98813838465225 is an abundant number, since it is smaller than the sum of its proper divisors (103527377721612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98813838465225 is a wasteful number, since it uses less digits than its factorization.

98813838465225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 2723 counting only the distinct ones).

The product of its digits is 796262400, while the sum is 72.

The spelling of 98813838465225 in words is "ninety-eight trillion, eight hundred thirteen billion, eight hundred thirty-eight million, four hundred sixty-five thousand, two hundred twenty-five".