13814734080 has 288 divisors, whose sum is σ = 51380469504. Its totient is φ = 3097755648.

The previous prime is 13814734039. The next prime is 13814734097. The reversal of 13814734080 is 8043741831.

It is a super-2 number, since 2×13814734080² (a number of 21 digits) contains 22 as substring.

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, 1419792 + ... + 1429488.

It is an arithmetic number, because the mean of its divisors is an integer number (178404408).

Almost surely, 2^13814734080 is an apocalyptic number.

13814734080 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 13814734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25690234752).

13814734080 is an abundant number, since it is smaller than the sum of its proper divisors (37565735424).

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

13814734080 is an equidigital number, since it uses as much as digits as its factorization.

13814734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9781 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 13814734080 in words is "thirteen billion, eight hundred fourteen million, seven hundred thirty-four thousand, eighty".