14466564840 has 512 divisors, whose sum is σ = 56202854400. Its totient is φ = 2895298560.

The previous prime is 14466564839. The next prime is 14466564859. The reversal of 14466564840 is 4846566441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14466564840.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60027120 + ... + 60027360.

It is an arithmetic number, because the mean of its divisors is an integer number (109771200).

Almost surely, 2^14466564840 is an apocalyptic number.

14466564840 is a gapful number since it is divisible by the number (10) 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 14466564840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28101427200).

14466564840 is an abundant number, since it is smaller than the sum of its proper divisors (41736289560).

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

14466564840 is a wasteful number, since it uses less digits than its factorization.

14466564840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 14466564840 in words is "fourteen billion, four hundred sixty-six million, five hundred sixty-four thousand, eight hundred forty".