334241234496 has 567 divisors, whose sum is σ = 1112223178521. Its totient is φ = 95905824768.

The previous prime is 334241234441. The next prime is 334241234507. The reversal of 334241234496 is 694432142433.

The square root of 334241234496 is 578136.

It is a perfect power (a square), and thus also a powerful number.

334241234496 is a `hidden beast` number, since 3 + 34 + 2 + 4 + 123 + 4 + 496 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 131525176896 + 202716057600 = 362664^2 + 450240^2 .

It is a super-2 number, since 2×334241234496² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1492992) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3066433290 + ... + 3066433398.

Almost surely, 2^334241234496 is an apocalyptic number.

334241234496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

334241234496 is the 578136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334241234496

334241234496 is an abundant number, since it is smaller than the sum of its proper divisors (777981944025).

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

334241234496 is a wasteful number, since it uses less digits than its factorization.

334241234496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 144 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 334241234496 in words is "three hundred thirty-four billion, two hundred forty-one million, two hundred thirty-four thousand, four hundred ninety-six".