14634735960 has 128 divisors (see below), whose sum is σ = 47851534080. Its totient is φ = 3558962688.

The previous prime is 14634735949. The next prime is 14634735961. The reversal of 14634735960 is 6953743641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14634735961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72967 + ... + 185993.

It is an arithmetic number, because the mean of its divisors is an integer number (373840110).

Almost surely, 2^14634735960 is an apocalyptic number.

14634735960 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 14634735960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23925767040).

14634735960 is an abundant number, since it is smaller than the sum of its proper divisors (33216798120).

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

14634735960 is a wasteful number, since it uses less digits than its factorization.

14634735960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113137 (or 113133 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 14634735960 in words is "fourteen billion, six hundred thirty-four million, seven hundred thirty-five thousand, nine hundred sixty".