334730474496 has 264 divisors, whose sum is σ = 1064663106624. Its totient is φ = 100445552640.

The previous prime is 334730474473. The next prime is 334730474503. The reversal of 334730474496 is 694474037433.

334730474496 is a `hidden beast` number, since 3 + 3 + 473 + 0 + 47 + 44 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×334730474496² (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 23 ways as a sum of consecutive naturals, for example, 10425700 + ... + 10457756.

Almost surely, 2^334730474496 is an apocalyptic number.

334730474496 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 334730474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532331553312).

334730474496 is an abundant number, since it is smaller than the sum of its proper divisors (729932632128).

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

334730474496 is a wasteful number, since it uses less digits than its factorization.

334730474496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32197 (or 32176 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 334730474496 in words is "three hundred thirty-four billion, seven hundred thirty million, four hundred seventy-four thousand, four hundred ninety-six".