13143252864 has 256 divisors, whose sum is σ = 41606208000. Its totient is φ = 3596673024.

The previous prime is 13143252841. The next prime is 13143252877. The reversal of 13143252864 is 46825234131.

It is a congruent number.

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, 10834722 + ... + 10835934.

It is an arithmetic number, because the mean of its divisors is an integer number (162524250).

Almost surely, 2^13143252864 is an apocalyptic number.

13143252864 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 13143252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803104000).

13143252864 is an abundant number, since it is smaller than the sum of its proper divisors (28462955136).

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

13143252864 is a wasteful number, since it uses less digits than its factorization.

13143252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1393 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

Adding to 13143252864 its reverse (46825234131), we get a palindrome (59968486995).

The spelling of 13143252864 in words is "thirteen billion, one hundred forty-three million, two hundred fifty-two thousand, eight hundred sixty-four".