129018892864 has 63 divisors (see below), whose sum is σ = 260777444281. Its totient is φ = 63332733440.

The previous prime is 129018892861. The next prime is 129018892883. The reversal of 129018892864 is 468298810921.

The square root of 129018892864 is 359192.

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

It can be written as a sum of positive squares in only one way, i.e., 338854464 + 128680038400 = 18408^2 + 358720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129018892799 and 129018892808.

It is not an unprimeable number, because it can be changed into a prime (129018892861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 169538244 + ... + 169539004.

Almost surely, 2^129018892864 is an apocalyptic number.

129018892864 is the 359192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129018892864

129018892864 is an abundant number, since it is smaller than the sum of its proper divisors (131758551417).

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

129018892864 is an frugal number, since it uses more digits than its factorization.

129018892864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 58.

The spelling of 129018892864 in words is "one hundred twenty-nine billion, eighteen million, eight hundred ninety-two thousand, eight hundred sixty-four".