14256151272 has 144 divisors (see below), whose sum is σ = 44285361120. Its totient is φ = 4132159680.

The previous prime is 14256151271. The next prime is 14256151289. The reversal of 14256151272 is 27215165241.

14256151272 is a `hidden beast` number, since 1 + 4 + 25 + 615 + 12 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14256151271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164803 + ... + 235949.

It is an arithmetic number, because the mean of its divisors is an integer number (307537230).

Almost surely, 2^14256151272 is an apocalyptic number.

14256151272 is a gapful number since it is divisible by the number (12) 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 14256151272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22142680560).

14256151272 is an abundant number, since it is smaller than the sum of its proper divisors (30029209848).

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

14256151272 is a wasteful number, since it uses less digits than its factorization.

14256151272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71204 (or 71186 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The spelling of 14256151272 in words is "fourteen billion, two hundred fifty-six million, one hundred fifty-one thousand, two hundred seventy-two".