13622072398272 has 294 divisors, whose sum is σ = 43885818356712. Its totient is φ = 4191404465664.

The previous prime is 13622072398247. The next prime is 13622072398279. The reversal of 13622072398272 is 27289327022631.

13622072398272 is a `hidden beast` number, since 1 + 3 + 6 + 220 + 7 + 2 + 398 + 27 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13622072398279) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 7021053 + ... + 8748675.

Almost surely, 2^{13622072398272} is an apocalyptic number.

13622072398272 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 13622072398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21942909178356).

13622072398272 is an abundant number, since it is smaller than the sum of its proper divisors (30263745958440).

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

13622072398272 is an equidigital number, since it uses as much as digits as its factorization.

13622072398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727679 (or 1727641 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 13622072398272 in words is "thirteen trillion, six hundred twenty-two billion, seventy-two million, three hundred ninety-eight thousand, two hundred seventy-two".