129512894641 has 81 divisors (see below), whose sum is σ = 156263257323. Its totient is φ = 107272732320.

The previous prime is 129512894551. The next prime is 129512894659. The reversal of 129512894641 is 146498215921.

The square root of 129512894641 is 359879.

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., 19158712225 + 110354182416 = 138415^2 + 332196^2 .

It is a de Polignac number, because none of the positive numbers 2^k-129512894641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129512894041) 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, 2755593480 + ... + 2755593526.

Almost surely, 2^129512894641 is an apocalyptic number.

129512894641 is the 359879-th square number.

129512894641 is the 179940-th centered octagonal number.

It is an amenable number.

129512894641 is a deficient number, since it is larger than the sum of its proper divisors (26750362682).

129512894641 is an equidigital number, since it uses as much as digits as its factorization.

129512894641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 52.

The spelling of 129512894641 in words is "one hundred twenty-nine billion, five hundred twelve million, eight hundred ninety-four thousand, six hundred forty-one".