129702669909264 has 315 divisors, whose sum is σ = 400307579182453. Its totient is φ = 40684473801216.

The previous prime is 129702669909259. The next prime is 129702669909269. The reversal of 129702669909264 is 462909966207921.

The square root of 129702669909264 is 11388708.

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

129702669909264 is a `hidden beast` number, since 12 + 9 + 7 + 0 + 266 + 9 + 90 + 9 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (129702669909259) and next prime (129702669909269).

It can be written as a sum of positive squares in only one way, i.e., 100979587299600 + 28723082609664 = 10048860^2 + 5359392^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129702669909192 and 129702669909201.

It is not an unprimeable number, because it can be changed into a prime (129702669909269) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20909664787 + ... + 20909670989.

Almost surely, 2^{129702669909264} is an apocalyptic number.

129702669909264 is the 11388708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129702669909264

129702669909264 is an abundant number, since it is smaller than the sum of its proper divisors (270604909273189).

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

129702669909264 is an frugal number, since it uses more digits than its factorization.

129702669909264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12466 (or 6225 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 129702669909264 in words is "one hundred twenty-nine trillion, seven hundred two billion, six hundred sixty-nine million, nine hundred nine thousand, two hundred sixty-four".