129226134564864 has 624 divisors, whose sum is σ = 389552210829600. Its totient is φ = 42862295384064.

The previous prime is 129226134564841. The next prime is 129226134564883. The reversal of 129226134564864 is 468465431622921.

129226134564864 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 2 + 6 + 1 + 3 + 4 + 564 + 8 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227110956772 + ... + 227110957340.

It is an arithmetic number, because the mean of its divisors is an integer number (624282389150).

Almost surely, 2^{129226134564864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129226134564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194776105414800).

129226134564864 is an abundant number, since it is smaller than the sum of its proper divisors (260326076264736).

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

129226134564864 is an frugal number, since it uses more digits than its factorization.

129226134564864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 887 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 129226134564864 in words is "one hundred twenty-nine trillion, two hundred twenty-six billion, one hundred thirty-four million, five hundred sixty-four thousand, eight hundred sixty-four".