129605760064 has 63 divisors (see below), whose sum is σ = 282761640343. Its totient is φ = 58897308800.

The previous prime is 129605760041. The next prime is 129605760079. The reversal of 129605760064 is 460067506921.

The square root of 129605760064 is 360008.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129605759996 and 129605760023.

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 8 ways as a sum of consecutive naturals, for example, 31678659 + ... + 31682749.

Almost surely, 2^129605760064 is an apocalyptic number.

129605760064 is the 360008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129605760064

129605760064 is an abundant number, since it is smaller than the sum of its proper divisors (153155880279).

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

129605760064 is an frugal number, since it uses more digits than its factorization.

129605760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8216 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 129605760064 in words is "one hundred twenty-nine billion, six hundred five million, seven hundred sixty thousand, sixty-four".