13000638464 has 144 divisors (see below), whose sum is σ = 28990918656. Its totient is φ = 5780275200.

The previous prime is 13000638367. The next prime is 13000638467. The reversal of 13000638464 is 46483600031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000638467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102367169 + ... + 102367295.

It is an arithmetic number, because the mean of its divisors is an integer number (201325824).

Almost surely, 2^13000638464 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 13000638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495459328).

13000638464 is an abundant number, since it is smaller than the sum of its proper divisors (15990280192).

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

13000638464 is an frugal number, since it uses more digits than its factorization.

13000638464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 13000638464 in words is "thirteen billion, six hundred thirty-eight thousand, four hundred sixty-four".