13221814861632 has 224 divisors, whose sum is σ = 37852664147200. Its totient is φ = 4048958472192.

The previous prime is 13221814861523. The next prime is 13221814861639. The reversal of 13221814861632 is 23616841812231.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221814861639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635378844 + ... + 635399652.

It is an arithmetic number, because the mean of its divisors is an integer number (168985107800).

Almost surely, 2^{13221814861632} is an apocalyptic number.

13221814861632 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 13221814861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926332073600).

13221814861632 is an abundant number, since it is smaller than the sum of its proper divisors (24630849285568).

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

13221814861632 is a wasteful number, since it uses less digits than its factorization.

13221814861632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22033 (or 22023 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 13221814861632 in words is "thirteen trillion, two hundred twenty-one billion, eight hundred fourteen million, eight hundred sixty-one thousand, six hundred thirty-two".