13268166912 has 648 divisors, whose sum is σ = 51851963072. Its totient is φ = 3175096320.

The previous prime is 13268166893. The next prime is 13268166917. The reversal of 13268166912 is 21966186231.

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

It is not an unprimeable number, because it can be changed into a prime (13268166917) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25369083 + ... + 25369605.

Almost surely, 2^13268166912 is an apocalyptic number.

13268166912 is a gapful number since it is divisible by the number (12) 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 13268166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25925981536).

13268166912 is an abundant number, since it is smaller than the sum of its proper divisors (38583796160).

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

13268166912 is a wasteful number, since it uses less digits than its factorization.

13268166912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 559 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 13268166912 in words is "thirteen billion, two hundred sixty-eight million, one hundred sixty-six thousand, nine hundred twelve".