32220313413444 has 144 divisors (see below), whose sum is σ = 92972279312640. Its totient is φ = 9320525061120.

The previous prime is 32220313413443. The next prime is 32220313413499. The reversal of 32220313413444 is 44431431302223.

32220313413444 is a `hidden beast` number, since 3 + 2 + 2 + 203 + 1 + 3 + 4 + 1 + 3 + 444 = 666.

It is a super-2 number, since 2×32220313413444² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32220313413399 and 32220313413408.

It is not an unprimeable number, because it can be changed into a prime (32220313413443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5025187 + ... + 9470645.

It is an arithmetic number, because the mean of its divisors is an integer number (645640828560).

Almost surely, 2^{32220313413444} is an apocalyptic number.

32220313413444 is a gapful number since it is divisible by the number (34) 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 32220313413444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46486139656320).

32220313413444 is an abundant number, since it is smaller than the sum of its proper divisors (60751965899196).

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

32220313413444 is a wasteful number, since it uses less digits than its factorization.

32220313413444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446410 (or 4446405 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 32220313413444 its reverse (44431431302223), we get a palindrome (76651744715667).

The spelling of 32220313413444 in words is "thirty-two trillion, two hundred twenty billion, three hundred thirteen million, four hundred thirteen thousand, four hundred forty-four".