334323332421104 has 160 divisors (see below), whose sum is σ = 741429076752000. Its totient is φ = 144673558659072.

The previous prime is 334323332421103. The next prime is 334323332421119. The reversal of 334323332421104 is 401124233323433.

It is a super-2 number, since 2×334323332421104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334323332421103) 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, 1112632517 + ... + 1112932955.

It is an arithmetic number, because the mean of its divisors is an integer number (4633931729700).

Almost surely, 2^{334323332421104} is an apocalyptic number.

334323332421104 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 334323332421104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370714538376000).

334323332421104 is an abundant number, since it is smaller than the sum of its proper divisors (407105744330896).

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

334323332421104 is a wasteful number, since it uses less digits than its factorization.

334323332421104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301675 (or 301669 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 38.

Adding to 334323332421104 its reverse (401124233323433), we get a palindrome (735447565744537).

The spelling of 334323332421104 in words is "three hundred thirty-four trillion, three hundred twenty-three billion, three hundred thirty-two million, four hundred twenty-one thousand, one hundred four".