13838306064 has 160 divisors (see below), whose sum is σ = 40210473984. Its totient is φ = 4064048640.

The previous prime is 13838306033. The next prime is 13838306113. The reversal of 13838306064 is 46060383831.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5527437 + ... + 5529939.

Almost surely, 2^13838306064 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 13838306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105236992).

13838306064 is an abundant number, since it is smaller than the sum of its proper divisors (26372167920).

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

13838306064 is a wasteful number, since it uses less digits than its factorization.

13838306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

Adding to 13838306064 its reverse (46060383831), we get a palindrome (59898689895).

The spelling of 13838306064 in words is "thirteen billion, eight hundred thirty-eight million, three hundred six thousand, sixty-four".