129444459264 has 504 divisors, whose sum is σ = 412592110560. Its totient is φ = 40422260736.

The previous prime is 129444459251. The next prime is 129444459293. The reversal of 129444459264 is 462954444921.

129444459264 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 4 + 44 + 592 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 129444459264.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 227494372 + ... + 227494940.

It is an arithmetic number, because the mean of its divisors is an integer number (818635140).

Almost surely, 2^129444459264 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 129444459264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206296055280).

129444459264 is an abundant number, since it is smaller than the sum of its proper divisors (283147651296).

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

129444459264 is an frugal number, since it uses more digits than its factorization.

129444459264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 650 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 129444459264 in words is "one hundred twenty-nine billion, four hundred forty-four million, four hundred fifty-nine thousand, two hundred sixty-four".