344434441221132 has 48 divisors (see below), whose sum is σ = 850969068590592. Its totient is φ = 108056163559680.

The previous prime is 344434441221121. The next prime is 344434441221133. The reversal of 344434441221132 is 231122144434443.

It is a super-2 number, since 2×344434441221132² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (344434441221133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256744 + ... + 26247567.

It is an arithmetic number, because the mean of its divisors is an integer number (17728522262304).

Almost surely, 2^{344434441221132} is an apocalyptic number.

It is an amenable number.

344434441221132 is an abundant number, since it is smaller than the sum of its proper divisors (506534627369460).

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

344434441221132 is a wasteful number, since it uses less digits than its factorization.

344434441221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26568038 (or 26568036 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

Adding to 344434441221132 its reverse (231122144434443), we get a palindrome (575556585655575).

The spelling of 344434441221132 in words is "three hundred forty-four trillion, four hundred thirty-four billion, four hundred forty-one million, two hundred twenty-one thousand, one hundred thirty-two".