32344122411144 has 96 divisors (see below), whose sum is σ = 90891416616000. Its totient is φ = 10775635094592.

The previous prime is 32344122411119. The next prime is 32344122411149. The reversal of 32344122411144 is 44111422144323.

32344122411144 is a `hidden beast` number, since 3 + 234 + 4 + 1 + 2 + 2 + 411 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×32344122411144² (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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32344122411099 and 32344122411108.

It is not an unprimeable number, because it can be changed into a prime (32344122411149) 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 23 ways as a sum of consecutive naturals, for example, 774559 + ... + 8080110.

It is an arithmetic number, because the mean of its divisors is an integer number (946785589750).

Almost surely, 2^{32344122411144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32344122411144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45445708308000).

32344122411144 is an abundant number, since it is smaller than the sum of its proper divisors (58547294204856).

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

32344122411144 is a wasteful number, since it uses less digits than its factorization.

32344122411144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8856569 (or 8856553 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 32344122411144 its reverse (44111422144323), we get a palindrome (76455544555467).

The spelling of 32344122411144 in words is "thirty-two trillion, three hundred forty-four billion, one hundred twenty-two million, four hundred eleven thousand, one hundred forty-four".