334442952816 has 240 divisors, whose sum is σ = 1023735905280. Its totient is φ = 93782492160.

The previous prime is 334442952799. The next prime is 334442952917. The reversal of 334442952816 is 618259244433.

It is a super-2 number, since 2×334442952816² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105600865 + ... + 105604031.

It is an arithmetic number, because the mean of its divisors is an integer number (4265566272).

Almost surely, 2^334442952816 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 334442952816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511867952640).

334442952816 is an abundant number, since it is smaller than the sum of its proper divisors (689292952464).

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

334442952816 is a wasteful number, since it uses less digits than its factorization.

334442952816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 3999 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The spelling of 334442952816 in words is "three hundred thirty-four billion, four hundred forty-two million, nine hundred fifty-two thousand, eight hundred sixteen".