14229214272 has 840 divisors, whose sum is σ = 54937639680. Its totient is φ = 3605575680.

The previous prime is 14229214271. The next prime is 14229214289. The reversal of 14229214272 is 27241292241.

14229214272 is a `hidden beast` number, since 1 + 4 + 229 + 2 + 1 + 427 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14229214271) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 102368379 + ... + 102368517.

It is an arithmetic number, because the mean of its divisors is an integer number (65401952).

Almost surely, 2^14229214272 is an apocalyptic number.

14229214272 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 14229214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27468819840).

14229214272 is an abundant number, since it is smaller than the sum of its proper divisors (40708425408).

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

14229214272 is a wasteful number, since it uses less digits than its factorization.

14229214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The spelling of 14229214272 in words is "fourteen billion, two hundred twenty-nine million, two hundred fourteen thousand, two hundred seventy-two".