13268097216 has 672 divisors, whose sum is σ = 46700236800. Its totient is φ = 3679948800.

The previous prime is 13268097209. The next prime is 13268097217. The reversal of 13268097216 is 61279086231.

It is not an unprimeable number, because it can be changed into a prime (13268097217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149079700 + ... + 149079788.

It is an arithmetic number, because the mean of its divisors is an integer number (69494400).

Almost surely, 2^13268097216 is an apocalyptic number.

13268097216 is a gapful number since it is divisible by the number (16) 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 13268097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350118400).

13268097216 is an abundant number, since it is smaller than the sum of its proper divisors (33432139584).

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

13268097216 is a wasteful number, since it uses less digits than its factorization.

13268097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 1326809 and 7216, that added together give a square (1334025 = 1155²).

The spelling of 13268097216 in words is "thirteen billion, two hundred sixty-eight million, ninety-seven thousand, two hundred sixteen".