334315682316 has 384 divisors, whose sum is σ = 1101049528320. Its totient is φ = 85200595200.

The previous prime is 334315682219. The next prime is 334315682369. The reversal of 334315682316 is 613286513433.

It is a happy number.

334315682316 is a `hidden beast` number, since 3 + 34 + 31 + 568 + 23 + 1 + 6 = 666.

It is a super-2 number, since 2×334315682316² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376905625 + ... + 376906511.

It is an arithmetic number, because the mean of its divisors is an integer number (2867316480).

Almost surely, 2^334315682316 is an apocalyptic number.

334315682316 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 334315682316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550524764160).

334315682316 is an abundant number, since it is smaller than the sum of its proper divisors (766733846004).

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

334315682316 is a wasteful number, since it uses less digits than its factorization.

334315682316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1714 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 334315682316 in words is "three hundred thirty-four billion, three hundred fifteen million, six hundred eighty-two thousand, three hundred sixteen".