14130822272 has 216 divisors, whose sum is σ = 35004655035. Its totient is φ = 5664701952.

The previous prime is 14130822157. The next prime is 14130822281. The reversal of 14130822272 is 27222803141.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 7065411136 + 7065411136 = 84056^2 + 84056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=84056.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 178871129 + ... + 178871207.

Almost surely, 2^14130822272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130822272

14130822272 is an abundant number, since it is smaller than the sum of its proper divisors (20873832763).

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

14130822272 is an frugal number, since it uses more digits than its factorization.

14130822272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Multiplying 14130822272 by its sum of digits (32), we get a square (452186312704 = 672448²).

14130822272 divided by its sum of digits (32) gives a square (441588196 = 21014²).

The spelling of 14130822272 in words is "fourteen billion, one hundred thirty million, eight hundred twenty-two thousand, two hundred seventy-two".