14272505856 has 576 divisors, whose sum is σ = 51943731840. Its totient is φ = 3822059520.

The previous prime is 14272505851. The next prime is 14272505893. The reversal of 14272505856 is 65850527241.

14272505856 is a `hidden beast` number, since 1 + 42 + 7 + 25 + 0 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (14272505851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59221896 + ... + 59222136.

It is an arithmetic number, because the mean of its divisors is an integer number (90180090).

Almost surely, 2^14272505856 is an apocalyptic number.

14272505856 is a gapful number since it is divisible by the number (16) 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 14272505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25971865920).

14272505856 is an abundant number, since it is smaller than the sum of its proper divisors (37671225984).

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

14272505856 is an equidigital number, since it uses as much as digits as its factorization.

14272505856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 14272505856 in words is "fourteen billion, two hundred seventy-two million, five hundred five thousand, eight hundred fifty-six".