129431574756 has 405 divisors, whose sum is σ = 393773034963. Its totient is φ = 37041507360.

The previous prime is 129431574709. The next prime is 129431574761. The reversal of 129431574756 is 657475134921.

The square root of 129431574756 is 359766.

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

129431574756 is a `hidden beast` number, since 1 + 2 + 94 + 31 + 57 + 475 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1638374325 + ... + 1638374403.

Almost surely, 2^129431574756 is an apocalyptic number.

129431574756 is the 359766-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129431574756

129431574756 is an abundant number, since it is smaller than the sum of its proper divisors (264341460207).

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

129431574756 is a wasteful number, since it uses less digits than its factorization.

129431574756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 118 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 129431574756 in words is "one hundred twenty-nine billion, four hundred thirty-one million, five hundred seventy-four thousand, seven hundred fifty-six".