129291817870336 has 99 divisors (see below), whose sum is σ = 284098305280363. Its totient is φ = 58767188817920.

The previous prime is 129291817870331. The next prime is 129291817870351. The reversal of 129291817870336 is 633078718192921.

The square root of 129291817870336 is 11370656.

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

It is a super-2 number, since 2×129291817870336² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129291817870331) 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, 4002454761 + ... + 4002487063.

Almost surely, 2^{129291817870336} is an apocalyptic number.

129291817870336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129291817870336 is the 11370656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129291817870336

129291817870336 is an abundant number, since it is smaller than the sum of its proper divisors (154806487410027).

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

129291817870336 is an frugal number, since it uses more digits than its factorization.

129291817870336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64648 (or 32316 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 67.

The spelling of 129291817870336 in words is "one hundred twenty-nine trillion, two hundred ninety-one billion, eight hundred seventeen million, eight hundred seventy thousand, three hundred thirty-six".