129387524416 has 112 divisors (see below), whose sum is σ = 273709912320. Its totient is φ = 60474859520.

The previous prime is 129387524389. The next prime is 129387524423. The reversal of 129387524416 is 614425783921.

It is a super-2 number, since 2×129387524416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131624661 + ... + 131625643.

Almost surely, 2^129387524416 is an apocalyptic number.

129387524416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129387524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136854956160).

129387524416 is an abundant number, since it is smaller than the sum of its proper divisors (144322387904).

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

129387524416 is a wasteful number, since it uses less digits than its factorization.

129387524416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1702 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The spelling of 129387524416 in words is "one hundred twenty-nine billion, three hundred eighty-seven million, five hundred twenty-four thousand, four hundred sixteen".