14793214464 has 240 divisors, whose sum is σ = 50940489600. Its totient is φ = 4226439168.

The previous prime is 14793214433. The next prime is 14793214483. The reversal of 14793214464 is 46441239741.

14793214464 is a `hidden beast` number, since 1 + 479 + 32 + 144 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666457 + ... + 688295.

It is an arithmetic number, because the mean of its divisors is an integer number (212252040).

Almost surely, 2^14793214464 is an apocalyptic number.

14793214464 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 14793214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25470244800).

14793214464 is an abundant number, since it is smaller than the sum of its proper divisors (36147275136).

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

14793214464 is an equidigital number, since it uses as much as digits as its factorization.

14793214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21880 (or 21851 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 14793214464 in words is "fourteen billion, seven hundred ninety-three million, two hundred fourteen thousand, four hundred sixty-four".