334454233344 has 288 divisors, whose sum is σ = 1175064662016. Its totient is φ = 81760911360.

The previous prime is 334454233319. The next prime is 334454233363. The reversal of 334454233344 is 443332454433.

It is a super-2 number, since 2×334454233344² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 334454233296 and 334454233305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838969 + ... + 1171655.

It is an arithmetic number, because the mean of its divisors is an integer number (4080085632).

Almost surely, 2^334454233344 is an apocalyptic number.

334454233344 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 334454233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587532331008).

334454233344 is an abundant number, since it is smaller than the sum of its proper divisors (840610428672).

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

334454233344 is a wasteful number, since it uses less digits than its factorization.

334454233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332741 (or 332727 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 42.

Adding to 334454233344 its reverse (443332454433), we get a palindrome (777786687777).

Subtracting 334454233344 from its reverse (443332454433), we obtain a square (108878221089 = 329967²).

The spelling of 334454233344 in words is "three hundred thirty-four billion, four hundred fifty-four million, two hundred thirty-three thousand, three hundred forty-four".