13964718560 has 96 divisors (see below), whose sum is σ = 35748306720. Its totient is φ = 5124446208.

The previous prime is 13964718533. The next prime is 13964718563. The reversal of 13964718560 is 6581746931.

It is a junction number, because it is equal to n+sod(n) for n = 13964718499 and 13964718508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13964718563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318446 + ... + 359634.

It is an arithmetic number, because the mean of its divisors is an integer number (372378195).

Almost surely, 2^13964718560 is an apocalyptic number.

13964718560 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 13964718560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17874153360).

13964718560 is an abundant number, since it is smaller than the sum of its proper divisors (21783588160).

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

13964718560 is a wasteful number, since it uses less digits than its factorization.

13964718560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41380 (or 41372 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 13964718560 in words is "thirteen billion, nine hundred sixty-four million, seven hundred eighteen thousand, five hundred sixty".