129073495824 has 675 divisors, whose sum is σ = 466230631893. Its totient is φ = 33317077248.

The previous prime is 129073495807. The next prime is 129073495949. The reversal of 129073495824 is 428594370921.

The square root of 129073495824 is 359268.

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

129073495824 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 73 + 495 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19093712400 + 109979783424 = 138180^2 + 331632^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2746244569 + ... + 2746244615.

Almost surely, 2^129073495824 is an apocalyptic number.

129073495824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129073495824 is the 359268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129073495824

129073495824 is an abundant number, since it is smaller than the sum of its proper divisors (337157136069).

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

129073495824 is an equidigital number, since it uses as much as digits as its factorization.

129073495824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 129073495824 in words is "one hundred twenty-nine billion, seventy-three million, four hundred ninety-five thousand, eight hundred twenty-four".