14256614560 has 96 divisors (see below), whose sum is σ = 34014475152. Its totient is φ = 5646458880.

The previous prime is 14256614543. The next prime is 14256614563. The reversal of 14256614560 is 6541665241.

It can be written as a sum of positive squares in 8 ways, for example, as 2980723216 + 11275891344 = 54596^2 + 106188^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14256614563) 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, 13436430 + ... + 13437490.

Almost surely, 2^14256614560 is an apocalyptic number.

14256614560 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 14256614560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007237576).

14256614560 is an abundant number, since it is smaller than the sum of its proper divisors (19757860592).

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

14256614560 is a wasteful number, since it uses less digits than its factorization.

14256614560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 14256614560 in words is "fourteen billion, two hundred fifty-six million, six hundred fourteen thousand, five hundred sixty".