129435891984 has 135 divisors (see below), whose sum is σ = 421480476183. Its totient is φ = 36973048896.

The previous prime is 129435891929. The next prime is 129435892037. The reversal of 129435891984 is 489198534921.

The square root of 129435891984 is 359772.

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

129435891984 is a `hidden beast` number, since 1 + 2 + 9 + 43 + 589 + 1 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 30218707 + ... + 30222989.

Almost surely, 2^129435891984 is an apocalyptic number.

129435891984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129435891984 is the 359772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129435891984

129435891984 is an abundant number, since it is smaller than the sum of its proper divisors (292044584199).

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

129435891984 is an frugal number, since it uses more digits than its factorization.

129435891984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 4295 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 129435891984 in words is "one hundred twenty-nine billion, four hundred thirty-five million, eight hundred ninety-one thousand, nine hundred eighty-four".