14864635104 has 288 divisors, whose sum is σ = 46139466240. Its totient is φ = 4173649920.

The previous prime is 14864635033. The next prime is 14864635133. The reversal of 14864635104 is 40153646841.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10372372 + ... + 10373804.

It is an arithmetic number, because the mean of its divisors is an integer number (160206480).

Almost surely, 2^14864635104 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 14864635104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23069733120).

14864635104 is an abundant number, since it is smaller than the sum of its proper divisors (31274831136).

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

14864635104 is a wasteful number, since it uses less digits than its factorization.

14864635104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14864635104 in words is "fourteen billion, eight hundred sixty-four million, six hundred thirty-five thousand, one hundred four".