14413138272 has 192 divisors, whose sum is σ = 46834200000. Its totient is φ = 4281790464.

The previous prime is 14413138247. The next prime is 14413138277. The reversal of 14413138272 is 27283131441.

14413138272 is a `hidden beast` number, since 144 + 131 + 382 + 7 + 2 = 666.

It is a super-2 number, since 2×14413138272² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413138277) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303604 + ... + 347852.

It is an arithmetic number, because the mean of its divisors is an integer number (243928125).

Almost surely, 2^14413138272 is an apocalyptic number.

14413138272 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 14413138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23417100000).

14413138272 is an abundant number, since it is smaller than the sum of its proper divisors (32421061728).

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

14413138272 is a wasteful number, since it uses less digits than its factorization.

14413138272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44310 (or 44296 counting only the distinct ones).

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

The spelling of 14413138272 in words is "fourteen billion, four hundred thirteen million, one hundred thirty-eight thousand, two hundred seventy-two".