14724893664 has 192 divisors, whose sum is σ = 48263040000. Its totient is φ = 4333671936.

The previous prime is 14724893629. The next prime is 14724893683. The reversal of 14724893664 is 46639842741.

14724893664 is a `hidden beast` number, since 1 + 4 + 72 + 489 + 36 + 64 = 666.

14724893664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14724893664² (a number of 21 digits) contains 22 as substring.

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 14724893664.

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 31 ways as a sum of consecutive naturals, for example, 229837 + ... + 286835.

It is an arithmetic number, because the mean of its divisors is an integer number (251370000).

Almost surely, 2^14724893664 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 14724893664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520000).

14724893664 is an abundant number, since it is smaller than the sum of its proper divisors (33538146336).

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

14724893664 is a wasteful number, since it uses less digits than its factorization.

14724893664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57054 (or 57040 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 14724893664 in words is "fourteen billion, seven hundred twenty-four million, eight hundred ninety-three thousand, six hundred sixty-four".