14516905284 has 144 divisors (see below), whose sum is σ = 42748812288. Its totient is φ = 4068252864.

The previous prime is 14516905261. The next prime is 14516905321. The reversal of 14516905284 is 48250961541.

14516905284 is a `hidden beast` number, since 1 + 4 + 516 + 9 + 0 + 52 + 84 = 666.

It is a super-3 number, since 3×14516905284³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2774679 + ... + 2779905.

It is an arithmetic number, because the mean of its divisors is an integer number (296866752).

Almost surely, 2^14516905284 is an apocalyptic number.

14516905284 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 14516905284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21374406144).

14516905284 is an abundant number, since it is smaller than the sum of its proper divisors (28231907004).

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

14516905284 is a wasteful number, since it uses less digits than its factorization.

14516905284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5454 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 14516905284 in words is "fourteen billion, five hundred sixteen million, nine hundred five thousand, two hundred eighty-four".