129856017216 has 224 divisors, whose sum is σ = 380270723328. Its totient is φ = 38899548160.

The previous prime is 129856017173. The next prime is 129856017227. The reversal of 129856017216 is 612710658921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57128656 + ... + 57130928.

Almost surely, 2^129856017216 is an apocalyptic number.

129856017216 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 129856017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190135361664).

129856017216 is an abundant number, since it is smaller than the sum of its proper divisors (250414706112).

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

129856017216 is a wasteful number, since it uses less digits than its factorization.

129856017216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 129856017216 in words is "one hundred twenty-nine billion, eight hundred fifty-six million, seventeen thousand, two hundred sixteen".