13249922230272 has 864 divisors, whose sum is σ = 47116292932800. Its totient is φ = 3288712347648.

The previous prime is 13249922230249. The next prime is 13249922230327. The reversal of 13249922230272 is 27203222994231.

It is a super-2 number, since 2×13249922230272² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 864926229 + ... + 864941547.

It is an arithmetic number, because the mean of its divisors is an integer number (54532746450).

Almost surely, 2^{13249922230272} is an apocalyptic number.

13249922230272 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 13249922230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23558146466400).

13249922230272 is an abundant number, since it is smaller than the sum of its proper divisors (33866370702528).

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

13249922230272 is a wasteful number, since it uses less digits than its factorization.

13249922230272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401 (or 15361 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 13249922230272 in words is "thirteen trillion, two hundred forty-nine billion, nine hundred twenty-two million, two hundred thirty thousand, two hundred seventy-two".