14742264182784 has 384 divisors, whose sum is σ = 42722967006720. Its totient is φ = 4502603169792.

The previous prime is 14742264182777. The next prime is 14742264182837. The reversal of 14742264182784 is 48728146224741.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405760389 + ... + 1405770875.

It is an arithmetic number, because the mean of its divisors is an integer number (111257726580).

Almost surely, 2^{14742264182784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14742264182784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21361483503360).

14742264182784 is an abundant number, since it is smaller than the sum of its proper divisors (27980702823936).

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

14742264182784 is a wasteful number, since it uses less digits than its factorization.

14742264182784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10885 (or 10865 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 60.

The spelling of 14742264182784 in words is "fourteen trillion, seven hundred forty-two billion, two hundred sixty-four million, one hundred eighty-two thousand, seven hundred eighty-four".