13257264384 has 432 divisors, whose sum is σ = 49129093440. Its totient is φ = 3495260160.

The previous prime is 13257264373. The next prime is 13257264451. The reversal of 13257264384 is 48346275231.

13257264384 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 7 + 264 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4401439 + ... + 4404449.

Almost surely, 2^13257264384 is an apocalyptic number.

13257264384 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 13257264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24564546720).

13257264384 is an abundant number, since it is smaller than the sum of its proper divisors (35871829056).

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

13257264384 is a wasteful number, since it uses less digits than its factorization.

13257264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3036 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 13257264384 in words is "thirteen billion, two hundred fifty-seven million, two hundred sixty-four thousand, three hundred eighty-four".