14933864484 has 384 divisors, whose sum is σ = 50814812160. Its totient is φ = 3679603200.

The previous prime is 14933864471. The next prime is 14933864497. The reversal of 14933864484 is 48446833941.

14933864484 is a `hidden beast` number, since 1 + 493 + 38 + 6 + 44 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (14933864471) and next prime (14933864497).

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 14933864484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13662642 + ... + 13663734.

It is an arithmetic number, because the mean of its divisors is an integer number (132330240).

Almost surely, 2^14933864484 is an apocalyptic number.

14933864484 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 14933864484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25407406080).

14933864484 is an abundant number, since it is smaller than the sum of its proper divisors (35880947676).

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

14933864484 is a wasteful number, since it uses less digits than its factorization.

14933864484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1200 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 14933864484 in words is "fourteen billion, nine hundred thirty-three million, eight hundred sixty-four thousand, four hundred eighty-four".