129289146624 has 405 divisors, whose sum is σ = 425624879911. Its totient is φ = 39005936640.

The previous prime is 129289146611. The next prime is 129289146641. The reversal of 129289146624 is 426641982921.

The square root of 129289146624 is 359568.

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

129289146624 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 8 + 9 + 1 + 4 + 6 + 624 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2985984) is a multiple of the sum of its prime divisors (243).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 569555599 + ... + 569555825.

Almost surely, 2^129289146624 is an apocalyptic number.

129289146624 is the 359568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129289146624

129289146624 is an abundant number, since it is smaller than the sum of its proper divisors (296335733287).

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

129289146624 is an frugal number, since it uses more digits than its factorization.

129289146624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 243 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 129289146624 in words is "one hundred twenty-nine billion, two hundred eighty-nine million, one hundred forty-six thousand, six hundred twenty-four".