13226456320 has 432 divisors, whose sum is σ = 42362308800. Its totient is φ = 3901685760.

The previous prime is 13226456317. The next prime is 13226456323. The reversal of 13226456320 is 2365462231.

It is an interprime number because it is at equal distance from previous prime (13226456317) and next prime (13226456323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13226456323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13107976 + ... + 13108984.

It is an arithmetic number, because the mean of its divisors is an integer number (98060900).

Almost surely, 2^13226456320 is an apocalyptic number.

13226456320 is a gapful number since it is divisible by the number (10) 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 13226456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21181154400).

13226456320 is an abundant number, since it is smaller than the sum of its proper divisors (29135852480).

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

13226456320 is a wasteful number, since it uses less digits than its factorization.

13226456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 13226456320 in words is "thirteen billion, two hundred twenty-six million, four hundred fifty-six thousand, three hundred twenty".