14838129280 has 64 divisors (see below), whose sum is σ = 38201070600. Its totient is φ = 5478690816.

The previous prime is 14838129253. The next prime is 14838129337. The reversal of 14838129280 is 8292183841.

It can be written as a sum of positive squares in 4 ways, for example, as 12808806976 + 2029322304 = 113176^2 + 45048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 14838129280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 883395 + ... + 900034.

Almost surely, 2^14838129280 is an apocalyptic number.

14838129280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14838129280 is an abundant number, since it is smaller than the sum of its proper divisors (23362941320).

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

14838129280 is a wasteful number, since it uses less digits than its factorization.

14838129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783461 (or 1783449 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 14838129280 in words is "fourteen billion, eight hundred thirty-eight million, one hundred twenty-nine thousand, two hundred eighty".