98516260129 has 9 divisors (see below), whose sum is σ = 114603103377. Its totient is φ = 84440625444.

The previous prime is 98516260109. The next prime is 98516260153. The reversal of 98516260129 is 92106261589.

The square root of 98516260129 is 313873.

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

It is not a de Polignac number, because 98516260129 - 2²⁹ = 97979389217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (98516260109) 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, 2174692 + ... + 2219530.

It is an arithmetic number, because the mean of its divisors is an integer number (12733678153).

Almost surely, 2^98516260129 is an apocalyptic number.

98516260129 is the 313873-rd square number.

98516260129 is the 156937-th centered octagonal number.

It is an amenable number.

98516260129 is a deficient number, since it is larger than the sum of its proper divisors (16086843248).

98516260129 is an frugal number, since it uses more digits than its factorization.

98516260129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89692 (or 44846 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

Multiplying 98516260129 by its sum of digits (49), we get a square (4827296746321 = 2197111²).

98516260129 divided by its sum of digits (49) gives a square (2010535921 = 44839²).

The spelling of 98516260129 in words is "ninety-eight billion, five hundred sixteen million, two hundred sixty thousand, one hundred twenty-nine".