14051293409664 has 640 divisors, whose sum is σ = 49692991518720. Its totient is φ = 3856706887680.

The previous prime is 14051293409641. The next prime is 14051293409701. The reversal of 14051293409664 is 46690439215041.

14051293409664 is a `hidden beast` number, since 1 + 4 + 0 + 512 + 9 + 34 + 0 + 96 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14051293409664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 308207479 + ... + 308253065.

It is an arithmetic number, because the mean of its divisors is an integer number (77645299248).

Almost surely, 2^{14051293409664} is an apocalyptic number.

14051293409664 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 14051293409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24846495759360).

14051293409664 is an abundant number, since it is smaller than the sum of its proper divisors (35641698109056).

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

14051293409664 is a wasteful number, since it uses less digits than its factorization.

14051293409664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45788 (or 45767 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 14051293409664 in words is "fourteen trillion, fifty-one billion, two hundred ninety-three million, four hundred nine thousand, six hundred sixty-four".