14000346944640 has 1536 divisors, whose sum is σ = 58264988221440. Its totient is φ = 3146570219520.

The previous prime is 14000346944599. The next prime is 14000346944663. The reversal of 14000346944640 is 4644964300041.

14000346944640 is a `hidden beast` number, since 140 + 0 + 0 + 3 + 4 + 69 + 446 + 4 + 0 = 666.

14000346944640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18111703294 + ... + 18111704066.

It is an arithmetic number, because the mean of its divisors is an integer number (37932935040).

Almost surely, 2^{14000346944640} is an apocalyptic number.

14000346944640 is a gapful number since it is divisible by the number (10) 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 14000346944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29132494110720).

14000346944640 is an abundant number, since it is smaller than the sum of its proper divisors (44264641276800).

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

14000346944640 is a wasteful number, since it uses less digits than its factorization.

14000346944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 14000346944640 in words is "fourteen trillion, three hundred forty-six million, nine hundred forty-four thousand, six hundred forty".