14140894138272 has 384 divisors, whose sum is σ = 45457890508800. Its totient is φ = 4241080166400.

The previous prime is 14140894138253. The next prime is 14140894138291. The reversal of 14140894138272 is 27283149804141.

It is a happy number.

14140894138272 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 0 + 89 + 413 + 82 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (14140894138253) and next prime (14140894138291).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 505722372 + ... + 505750332.

It is an arithmetic number, because the mean of its divisors is an integer number (118379923200).

Almost surely, 2^{14140894138272} is an apocalyptic number.

14140894138272 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 14140894138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22728945254400).

14140894138272 is an abundant number, since it is smaller than the sum of its proper divisors (31316996370528).

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

14140894138272 is a wasteful number, since it uses less digits than its factorization.

14140894138272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28537 (or 28523 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 14140894138272 in words is "fourteen trillion, one hundred forty billion, eight hundred ninety-four million, one hundred thirty-eight thousand, two hundred seventy-two".