14680014400 has 84 divisors (see below), whose sum is σ = 36178337092. Its totient is φ = 5862850560.

The previous prime is 14680014383. The next prime is 14680014413. The reversal of 14680014400 is 441008641.

It can be written as a sum of positive squares in 6 ways, for example, as 224280576 + 14455733824 = 14976^2 + 120232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069984 + ... + 1083616.

Almost surely, 2^14680014400 is an apocalyptic number.

14680014400 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 14680014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18089168546).

14680014400 is an abundant number, since it is smaller than the sum of its proper divisors (21498322692).

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

14680014400 is a wasteful number, since it uses less digits than its factorization.

14680014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328 (or 14313 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 14680014400 in words is "fourteen billion, six hundred eighty million, fourteen thousand, four hundred".