14374114720 has 480 divisors, whose sum is σ = 43909641216. Its totient is φ = 4425523200.

The previous prime is 14374114693. The next prime is 14374114759. The reversal of 14374114720 is 2741147341.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 202452285 + ... + 202452355.

Almost surely, 2^14374114720 is an apocalyptic number.

14374114720 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 14374114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954820608).

14374114720 is an abundant number, since it is smaller than the sum of its proper divisors (29535526496).

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

14374114720 is an equidigital number, since it uses as much as digits as its factorization.

14374114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 14374114720 in words is "fourteen billion, three hundred seventy-four million, one hundred fourteen thousand, seven hundred twenty".