129998489249344 has 189 divisors, whose sum is σ = 265033730710371. Its totient is φ = 63265686374400.

The previous prime is 129998489249309. The next prime is 129998489249357. The reversal of 129998489249344 is 443942984899921.

The square root of 129998489249344 is 11401688.

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

It can be written as a sum of positive squares in 4 ways, for example, as 50626640257600 + 79371848991744 = 7115240^2 + 8909088^2 .

It is a super-2 number, since 2×129998489249344² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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, 948894082044 + ... + 948894082180.

Almost surely, 2^{129998489249344} is an apocalyptic number.

129998489249344 is the 11401688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129998489249344

129998489249344 is an abundant number, since it is smaller than the sum of its proper divisors (135035241461027).

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

129998489249344 is an frugal number, since it uses more digits than its factorization.

129998489249344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 343 counting only the distinct ones).

The product of its digits is 11609505792, while the sum is 85.

The spelling of 129998489249344 in words is "one hundred twenty-nine trillion, nine hundred ninety-eight billion, four hundred eighty-nine million, two hundred forty-nine thousand, three hundred forty-four".