129672182016 has 360 divisors, whose sum is σ = 427688984184. Its totient is φ = 38817792000.

The previous prime is 129672181999. The next prime is 129672182047. The reversal of 129672182016 is 610281276921.

It can be written as a sum of positive squares in 4 ways, for example, as 1003622400 + 128668559616 = 31680^2 + 358704^2 .

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 39 ways as a sum of consecutive naturals, for example, 9967516 + ... + 9980516.

Almost surely, 2^129672182016 is an apocalyptic number.

129672182016 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 129672182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213844492092).

129672182016 is an abundant number, since it is smaller than the sum of its proper divisors (298016802168).

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

129672182016 is a wasteful number, since it uses less digits than its factorization.

129672182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13079 (or 13056 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

It can be divided in two parts, 1296 and 72182016, that multiplied together give a square (93547892736 = 305856²).

The spelling of 129672182016 in words is "one hundred twenty-nine billion, six hundred seventy-two million, one hundred eighty-two thousand, sixteen".