129118574678016 has 624 divisors, whose sum is σ = 432900933204992. Its totient is φ = 33504394936320.

The previous prime is 129118574677903. The next prime is 129118574678029. The reversal of 129118574678016 is 610876475811921.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11688106605 + ... + 11688117651.

Almost surely, 2^{129118574678016} is an apocalyptic number.

129118574678016 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 129118574678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216450466602496).

129118574678016 is an abundant number, since it is smaller than the sum of its proper divisors (303782358526976).

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

129118574678016 is a wasteful number, since it uses less digits than its factorization.

129118574678016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12226 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 66.

The spelling of 129118574678016 in words is "one hundred twenty-nine trillion, one hundred eighteen billion, five hundred seventy-four million, six hundred seventy-eight thousand, sixteen".