14491923264 has 504 divisors, whose sum is σ = 52615600128. Its totient is φ = 3779758080.

The previous prime is 14491923233. The next prime is 14491923331. The reversal of 14491923264 is 46232919441.

14491923264 is a `hidden beast` number, since 14 + 491 + 92 + 3 + 2 + 64 = 666.

14491923264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46597669 + ... + 46597979.

It is an arithmetic number, because the mean of its divisors is an integer number (104396032).

Almost surely, 2^14491923264 is an apocalyptic number.

14491923264 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 14491923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307800064).

14491923264 is an abundant number, since it is smaller than the sum of its proper divisors (38123676864).

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

14491923264 is a wasteful number, since it uses less digits than its factorization.

14491923264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 463 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 14491923264 in words is "fourteen billion, four hundred ninety-one million, nine hundred twenty-three thousand, two hundred sixty-four".