334344432223344 has 320 divisors, whose sum is σ = 933828516149760. Its totient is φ = 102753242542080.

The previous prime is 334344432223343. The next prime is 334344432223393. The reversal of 334344432223344 is 443322234443433.

It is a super-2 number, since 2×334344432223344² (a number of 30 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 334344432223293 and 334344432223302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334344432223343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15684392974 + ... + 15684414290.

It is an arithmetic number, because the mean of its divisors is an integer number (2918214112968).

Almost surely, 2^{334344432223344} 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 334344432223344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466914258074880).

334344432223344 is an abundant number, since it is smaller than the sum of its proper divisors (599484083926416).

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

334344432223344 is a wasteful number, since it uses less digits than its factorization.

334344432223344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24008 (or 24002 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 48.

Adding to 334344432223344 its reverse (443322234443433), we get a palindrome (777666666666777).

The spelling of 334344432223344 in words is "three hundred thirty-four trillion, three hundred forty-four billion, four hundred thirty-two million, two hundred twenty-three thousand, three hundred forty-four".