129712259378641 has 9 divisors (see below), whose sum is σ = 131677933465449. Its totient is φ = 127775503824804.

The previous prime is 129712259378623. The next prime is 129712259378699. The reversal of 129712259378641 is 146873952217921.

The square root of 129712259378641 is 11389129.

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

It is not a de Polignac number, because 129712259378641 - 2⁴⁵ = 94527887289809 is a prime.

It is a super-2 number, since 2×129712259378641² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129712259778641) 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, 762986650 + ... + 763156636.

It is an arithmetic number, because the mean of its divisors is an integer number (14630881496161).

Almost surely, 2^{129712259378641} is an apocalyptic number.

129712259378641 is the 11389129-th square number.

129712259378641 is the 5694565-th centered octagonal number.

It is an amenable number.

129712259378641 is a deficient number, since it is larger than the sum of its proper divisors (1965674086808).

129712259378641 is an frugal number, since it uses more digits than its factorization.

129712259378641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340108 (or 170054 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 67.

The spelling of 129712259378641 in words is "one hundred twenty-nine trillion, seven hundred twelve billion, two hundred fifty-nine million, three hundred seventy-eight thousand, six hundred forty-one".