14129905152 has 320 divisors, whose sum is σ = 43274373120. Its totient is φ = 4057497600.

The previous prime is 14129905109. The next prime is 14129905189. The reversal of 14129905152 is 25150992141.

It is a happy number.

It is a super-2 number, since 2×14129905152² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14129905152.

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, 27759874 + ... + 27760382.

It is an arithmetic number, because the mean of its divisors is an integer number (135232416).

Almost surely, 2^14129905152 is an apocalyptic number.

14129905152 is a gapful number since it is divisible by the number (12) 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 14129905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637186560).

14129905152 is an abundant number, since it is smaller than the sum of its proper divisors (29144467968).

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

14129905152 is a wasteful number, since it uses less digits than its factorization.

14129905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 14129905152 in words is "fourteen billion, one hundred twenty-nine million, nine hundred five thousand, one hundred fifty-two".