14256680900 has 288 divisors, whose sum is σ = 39986107392. Its totient is φ = 4283020800.

The previous prime is 14256680873. The next prime is 14256680903. The reversal of 14256680900 is 908665241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14256680903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46438547 + ... + 46438853.

Almost surely, 2^14256680900 is an apocalyptic number.

14256680900 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 14256680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19993053696).

14256680900 is an abundant number, since it is smaller than the sum of its proper divisors (25729426492).

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

14256680900 is a wasteful number, since it uses less digits than its factorization.

14256680900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 14256680900 in words is "fourteen billion, two hundred fifty-six million, six hundred eighty thousand, nine hundred".