129672254016 has 672 divisors, whose sum is σ = 424515686400. Its totient is φ = 37645516800.

The previous prime is 129672254009. The next prime is 129672254027. The reversal of 129672254016 is 610452276921.

129672254016 is a `hidden beast` number, since 1 + 2 + 96 + 7 + 2 + 2 + 540 + 16 = 666.

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 95 ways as a sum of consecutive naturals, for example, 870283510 + ... + 870283658.

Almost surely, 2^129672254016 is an apocalyptic number.

129672254016 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 129672254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212257843200).

129672254016 is an abundant number, since it is smaller than the sum of its proper divisors (294843432384).

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

129672254016 is a wasteful number, since it uses less digits than its factorization.

129672254016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 129672254016 in words is "one hundred twenty-nine billion, six hundred seventy-two million, two hundred fifty-four thousand, sixteen".