13129474407504 has 960 divisors, whose sum is σ = 46353233203200. Its totient is φ = 3163145416704.

The previous prime is 13129474407499. The next prime is 13129474407559. The reversal of 13129474407504 is 40570447492131.

13129474407504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1973463442 + ... + 1973470094.

It is an arithmetic number, because the mean of its divisors is an integer number (48284617920).

Almost surely, 2^{13129474407504} is an apocalyptic number.

13129474407504 is a gapful number since it is divisible by the number (14) 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 13129474407504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23176616601600).

13129474407504 is an abundant number, since it is smaller than the sum of its proper divisors (33223758795696).

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

13129474407504 is a wasteful number, since it uses less digits than its factorization.

13129474407504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 13129474407504 in words is "thirteen trillion, one hundred twenty-nine billion, four hundred seventy-four million, four hundred seven thousand, five hundred four".