14146934038272 has 576 divisors, whose sum is σ = 49412866048000. Its totient is φ = 3906906255360.

The previous prime is 14146934038261. The next prime is 14146934038327. The reversal of 14146934038272 is 27283043964141.

14146934038272 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 6 + 93 + 403 + 82 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1360407729 + ... + 1360418127.

Almost surely, 2^{14146934038272} is an apocalyptic number.

14146934038272 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 14146934038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24706433024000).

14146934038272 is an abundant number, since it is smaller than the sum of its proper divisors (35265932009728).

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

14146934038272 is a wasteful number, since it uses less digits than its factorization.

14146934038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11369 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 14146934038272 in words is "fourteen trillion, one hundred forty-six billion, nine hundred thirty-four million, thirty-eight thousand, two hundred seventy-two".