14389305243264 has 640 divisors, whose sum is σ = 51851210400000. Its totient is φ = 3866960756736.

The previous prime is 14389305243241. The next prime is 14389305243283. The reversal of 14389305243264 is 46234250398341.

14389305243264 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 9 + 305 + 2 + 4 + 326 + 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 14389305243264.

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, 2878434237 + ... + 2878439235.

It is an arithmetic number, because the mean of its divisors is an integer number (81017516250).

Almost surely, 2^{14389305243264} is an apocalyptic number.

14389305243264 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 14389305243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25925605200000).

14389305243264 is an abundant number, since it is smaller than the sum of its proper divisors (37461905156736).

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

14389305243264 is a wasteful number, since it uses less digits than its factorization.

14389305243264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 14389305243264 in words is "fourteen trillion, three hundred eighty-nine billion, three hundred five million, two hundred forty-three thousand, two hundred sixty-four".