14138500045824 has 1056 divisors, whose sum is σ = 52076110754304. Its totient is φ = 3587952476160.

The previous prime is 14138500045801. The next prime is 14138500045861. The reversal of 14138500045824 is 42854000583141.

14138500045824 is a `hidden beast` number, since 1 + 4 + 13 + 8 + 50 + 0 + 0 + 4 + 582 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14138500045824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11019874687 + ... + 11019875969.

Almost surely, 2^{14138500045824} is an apocalyptic number.

14138500045824 is a gapful number since it is divisible by the number (14) 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 14138500045824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26038055377152).

14138500045824 is an abundant number, since it is smaller than the sum of its proper divisors (37937610708480).

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

14138500045824 is a wasteful number, since it uses less digits than its factorization.

14138500045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 14138500045824 in words is "fourteen trillion, one hundred thirty-eight billion, five hundred million, forty-five thousand, eight hundred twenty-four".