14129308152960 has 1536 divisors, whose sum is σ = 61162334876160. Its totient is φ = 2699683430400.

The previous prime is 14129308152959. The next prime is 14129308152997. The reversal of 14129308152960 is 6925180392141.

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, 6194347020 + ... + 6194349300.

It is an arithmetic number, because the mean of its divisors is an integer number (39819228435).

Almost surely, 2^{14129308152960} is an apocalyptic number.

14129308152960 is a gapful number since it is divisible by the number (10) 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 14129308152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30581167438080).

14129308152960 is an abundant number, since it is smaller than the sum of its proper divisors (47033026723200).

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

14129308152960 is a wasteful number, since it uses less digits than its factorization.

14129308152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 14129308152960 in words is "fourteen trillion, one hundred twenty-nine billion, three hundred eight million, one hundred fifty-two thousand, nine hundred sixty".