129644411822500 has 135 divisors (see below), whose sum is σ = 296398630134453. Its totient is φ = 49598069400000.

The previous prime is 129644411822467. The next prime is 129644411822507. The reversal of 129644411822500 is 5228114446921.

The square root of 129644411822500 is 11386150.

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

It can be written as a sum of positive squares in 7 ways, for example, as 28192298168164 + 101452113654336 = 5309642^2 + 10072344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129644411822507) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13094067550 + ... + 13094077450.

Almost surely, 2^{129644411822500} is an apocalyptic number.

129644411822500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129644411822500 is the 11386150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129644411822500

129644411822500 is an abundant number, since it is smaller than the sum of its proper divisors (166754218311953).

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

129644411822500 is an frugal number, since it uses more digits than its factorization.

129644411822500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19872 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 129644411822500 in words is "one hundred twenty-nine trillion, six hundred forty-four billion, four hundred eleven million, eight hundred twenty-two thousand, five hundred".