99722732460129 has 81 divisors (see below), whose sum is σ = 147724472757771. Its totient is φ = 64825143143040.

The previous prime is 99722732460107. The next prime is 99722732460139. The reversal of 99722732460129 is 92106423722799.

The square root of 99722732460129 is 9986127.

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

99722732460129 is a `hidden beast` number, since 9 + 9 + 7 + 227 + 324 + 60 + 1 + 29 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 79523999970129 + 20198732490000 = 8917623^2 + 4494300^2 .

It is not a de Polignac number, because 99722732460129 - 2¹¹ = 99722732458081 is a prime.

It is a super-2 number, since 2×99722732460129² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99722732460139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 360009864339 + ... + 360009864615.

Almost surely, 2^{99722732460129} is an apocalyptic number.

99722732460129 is the 9986127-th square number.

99722732460129 is the 4993064-th centered octagonal number.

It is an amenable number.

99722732460129 is a deficient number, since it is larger than the sum of its proper divisors (48001740297642).

99722732460129 is an frugal number, since it uses more digits than its factorization.

99722732460129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 99722732460129 in words is "ninety-nine trillion, seven hundred twenty-two billion, seven hundred thirty-two million, four hundred sixty thousand, one hundred twenty-nine".