13334825460 has 384 divisors, whose sum is σ = 44962283520. Its totient is φ = 2918361600.

The previous prime is 13334825377. The next prime is 13334825479. The reversal of 13334825460 is 6452843331.

13334825460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20234611 + ... + 20235269.

It is an arithmetic number, because the mean of its divisors is an integer number (117089280).

Almost surely, 2^13334825460 is an apocalyptic number.

13334825460 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 13334825460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22481141760).

13334825460 is an abundant number, since it is smaller than the sum of its proper divisors (31627458060).

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

13334825460 is a wasteful number, since it uses less digits than its factorization.

13334825460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 13334825460 in words is "thirteen billion, three hundred thirty-four million, eight hundred twenty-five thousand, four hundred sixty".