13035338064 has 360 divisors, whose sum is σ = 45846053760. Its totient is φ = 3382235136.

The previous prime is 13035338059. The next prime is 13035338077. The reversal of 13035338064 is 46083353031.

13035338064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 8447277 + ... + 8448819.

Almost surely, 2^13035338064 is an apocalyptic number.

13035338064 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 13035338064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22923026880).

13035338064 is an abundant number, since it is smaller than the sum of its proper divisors (32810715696).

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

13035338064 is a wasteful number, since it uses less digits than its factorization.

13035338064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13035338064 in words is "thirteen billion, thirty-five million, three hundred thirty-eight thousand, sixty-four".