129416497310016 has 336 divisors, whose sum is σ = 448121700249600. Its totient is φ = 34883455251456.

The previous prime is 129416497310003. The next prime is 129416497310021. The reversal of 129416497310016 is 610013794614921.

129416497310016 is a `hidden beast` number, since 1 + 2 + 9 + 41 + 6 + 497 + 3 + 100 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

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, 14775141 + ... + 21843483.

Almost surely, 2^{129416497310016} is an apocalyptic number.

129416497310016 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 129416497310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224060850124800).

129416497310016 is an abundant number, since it is smaller than the sum of its proper divisors (318705202939584).

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

129416497310016 is a wasteful number, since it uses less digits than its factorization.

129416497310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068626 (or 7068613 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 129416497310016 in words is "one hundred twenty-nine trillion, four hundred sixteen billion, four hundred ninety-seven million, three hundred ten thousand, sixteen".