98347345182529 has 9 divisors (see below), whose sum is σ = 98592457327587. Its totient is φ = 98102840980464.

The previous prime is 98347345182467. The next prime is 98347345182557. The reversal of 98347345182529 is 92528154374389.

The square root of 98347345182529 is 9917023.

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., 89881340252929 + 8466004929600 = 9480577^2 + 2909640^2 .

It is not a de Polignac number, because 98347345182529 - 2²⁹ = 98346808311617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98347345182599) 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, 4056050284 + ... + 4056074530.

It is an arithmetic number, because the mean of its divisors is an integer number (10954717480843).

Almost surely, 2^{98347345182529} is an apocalyptic number.

98347345182529 is the 9917023-rd square number.

98347345182529 is the 4958512-nd centered octagonal number.

It is an amenable number.

98347345182529 is a deficient number, since it is larger than the sum of its proper divisors (245112145058).

98347345182529 is an frugal number, since it uses more digits than its factorization.

98347345182529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49312 (or 24656 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 70.

The spelling of 98347345182529 in words is "ninety-eight trillion, three hundred forty-seven billion, three hundred forty-five million, one hundred eighty-two thousand, five hundred twenty-nine".