14170893408 has 384 divisors, whose sum is σ = 48776878080. Its totient is φ = 3919104000.

The previous prime is 14170893397. The next prime is 14170893421. The reversal of 14170893408 is 80439807141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26193618 + ... + 26194158.

It is an arithmetic number, because the mean of its divisors is an integer number (127023120).

Almost surely, 2^14170893408 is an apocalyptic number.

14170893408 is a gapful number since it is divisible by the number (18) 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 14170893408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24388439040).

14170893408 is an abundant number, since it is smaller than the sum of its proper divisors (34605984672).

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

14170893408 is a wasteful number, since it uses less digits than its factorization.

14170893408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14170893408 in words is "fourteen billion, one hundred seventy million, eight hundred ninety-three thousand, four hundred eight".