334453444416 has 1344 divisors, whose sum is σ = 1308933120000. Its totient is φ = 81750269952.

The previous prime is 334453444399. The next prime is 334453444417. The reversal of 334453444416 is 614444354433.

334453444416 is a `hidden beast` number, since 3 + 34 + 4 + 534 + 44 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×334453444416² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334453444417) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3068380170 + ... + 3068380278.

Almost surely, 2^334453444416 is an apocalyptic number.

334453444416 is a gapful number since it is divisible by the number (36) 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 334453444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654466560000).

334453444416 is an abundant number, since it is smaller than the sum of its proper divisors (974479675584).

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

334453444416 is a wasteful number, since it uses less digits than its factorization.

334453444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

Adding to 334453444416 its reverse (614444354433), we get a palindrome (948897798849).

The spelling of 334453444416 in words is "three hundred thirty-four billion, four hundred fifty-three million, four hundred forty-four thousand, four hundred sixteen".