14791963804640 has 576 divisors, whose sum is σ = 41324704727040. Its totient is φ = 4960076759040.

The previous prime is 14791963804637. The next prime is 14791963804663. The reversal of 14791963804640 is 4640836919741.

14791963804640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 5505009377 + ... + 5505012063.

It is an arithmetic number, because the mean of its divisors is an integer number (71744279040).

Almost surely, 2^{14791963804640} is an apocalyptic number.

14791963804640 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 14791963804640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20662352363520).

14791963804640 is an abundant number, since it is smaller than the sum of its proper divisors (26532740922400).

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

14791963804640 is a wasteful number, since it uses less digits than its factorization.

14791963804640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 14791963804640 in words is "fourteen trillion, seven hundred ninety-one billion, nine hundred sixty-three million, eight hundred four thousand, six hundred forty".