14108971360 has 288 divisors, whose sum is σ = 39312967680. Its totient is φ = 4732185600.

The previous prime is 14108971319. The next prime is 14108971427. The reversal of 14108971360 is 6317980141.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73868865 + ... + 73869055.

It is an arithmetic number, because the mean of its divisors is an integer number (136503360).

Almost surely, 2^14108971360 is an apocalyptic number.

14108971360 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 14108971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656483840).

14108971360 is an abundant number, since it is smaller than the sum of its proper divisors (25203996320).

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

14108971360 is a wasteful number, since it uses less digits than its factorization.

14108971360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 14108971360 in words is "fourteen billion, one hundred eight million, nine hundred seventy-one thousand, three hundred sixty".