14982718464 has 264 divisors, whose sum is σ = 49682949888. Its totient is φ = 4260003840.

The previous prime is 14982718441. The next prime is 14982718481. The reversal of 14982718464 is 46481728941.

14982718464 is a `hidden beast` number, since 1 + 498 + 2 + 71 + 84 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14982718464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17482324 + ... + 17483180.

It is an arithmetic number, because the mean of its divisors is an integer number (188192992).

Almost surely, 2^14982718464 is an apocalyptic number.

14982718464 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 14982718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24841474944).

14982718464 is an abundant number, since it is smaller than the sum of its proper divisors (34700231424).

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

14982718464 is a wasteful number, since it uses less digits than its factorization.

14982718464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1140 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 14982718464 in words is "fourteen billion, nine hundred eighty-two million, seven hundred eighteen thousand, four hundred sixty-four".