13231735264 has 72 divisors (see below), whose sum is σ = 28670055624. Its totient is φ = 6006739200.

The previous prime is 13231735259. The next prime is 13231735267. The reversal of 13231735264 is 46253713231.

It is a super-2 number, since 2×13231735264² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13231735267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3951639 + ... + 3954985.

It is an arithmetic number, because the mean of its divisors is an integer number (398195217).

Almost surely, 2^13231735264 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 13231735264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335027812).

13231735264 is an abundant number, since it is smaller than the sum of its proper divisors (15438320360).

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

13231735264 is a wasteful number, since it uses less digits than its factorization.

13231735264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4381 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The spelling of 13231735264 in words is "thirteen billion, two hundred thirty-one million, seven hundred thirty-five thousand, two hundred sixty-four".