13263436368 has 600 divisors, whose sum is σ = 48895995456. Its totient is φ = 3396556800.

The previous prime is 13263436349. The next prime is 13263436369. The reversal of 13263436368 is 86363436231.

13263436368 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 3 + 4 + 3 + 636 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13263436369) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62859783 + ... + 62859993.

Almost surely, 2^13263436368 is an apocalyptic number.

13263436368 is a gapful number since it is divisible by the number (18) 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 13263436368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24447997728).

13263436368 is an abundant number, since it is smaller than the sum of its proper divisors (35632559088).

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

13263436368 is a wasteful number, since it uses less digits than its factorization.

13263436368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The spelling of 13263436368 in words is "thirteen billion, two hundred sixty-three million, four hundred thirty-six thousand, three hundred sixty-eight".