14681007360 has 216 divisors, whose sum is σ = 51060489480. Its totient is φ = 3894460416.

The previous prime is 14681007359. The next prime is 14681007377. The reversal of 14681007360 is 6370018641.

It can be written as a sum of positive squares in 4 ways, for example, as 1870389504 + 12810617856 = 43248^2 + 113184^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2266206 + ... + 2272674.

It is an arithmetic number, because the mean of its divisors is an integer number (236391155).

Almost surely, 2^14681007360 is an apocalyptic number.

14681007360 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 14681007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25530244740).

14681007360 is an abundant number, since it is smaller than the sum of its proper divisors (36379482120).

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

14681007360 is a wasteful number, since it uses less digits than its factorization.

14681007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6693 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14681007360 in words is "fourteen billion, six hundred eighty-one million, seven thousand, three hundred sixty".