129044192288 has 162 divisors, whose sum is σ = 293088278511. Its totient is φ = 55882640000.

The previous prime is 129044192287. The next prime is 129044192317. The reversal of 129044192288 is 882291440921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 64522096144 + 64522096144 = 254012^2 + 254012^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=254012.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129044192287) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 514120163 + ... + 514120413.

Almost surely, 2^129044192288 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 129044192288

129044192288 is an abundant number, since it is smaller than the sum of its proper divisors (164044086223).

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

129044192288 is an equidigital number, since it uses as much as digits as its factorization.

129044192288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 50.

Multiplying 129044192288 by its sum of digits (50), we get a square (6452209614400 = 2540120²).

The spelling of 129044192288 in words is "one hundred twenty-nine billion, forty-four million, one hundred ninety-two thousand, two hundred eighty-eight".