14083995644928 has 1056 divisors, whose sum is σ = 48367608606720. Its totient is φ = 3903251742720.

The previous prime is 14083995644893. The next prime is 14083995644933. The reversal of 14083995644928 is 82944659938041.

14083995644928 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 39 + 9 + 564 + 4 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5089986201 + ... + 5089988967.

Almost surely, 2^{14083995644928} is an apocalyptic number.

14083995644928 is a gapful number since it is divisible by the number (18) 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 14083995644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24183804303360).

14083995644928 is an abundant number, since it is smaller than the sum of its proper divisors (34283612961792).

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

14083995644928 is a wasteful number, since it uses less digits than its factorization.

14083995644928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 14083995644928 in words is "fourteen trillion, eighty-three billion, nine hundred ninety-five million, six hundred forty-four thousand, nine hundred twenty-eight".