3333247946496 has 360 divisors, whose sum is σ = 10854510204384. Its totient is φ = 1011163668480.

The previous prime is 3333247946473. The next prime is 3333247946507. The reversal of 3333247946496 is 6946497423333.

3333247946496 is a `hidden beast` number, since 3 + 3 + 3 + 32 + 4 + 79 + 46 + 496 = 666.

It is a super-3 number, since 3×3333247946496³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19052250 + ... + 19226406.

Almost surely, 2^{3333247946496} is an apocalyptic number.

3333247946496 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 3333247946496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5427255102192).

3333247946496 is an abundant number, since it is smaller than the sum of its proper divisors (7521262257888).

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

3333247946496 is a wasteful number, since it uses less digits than its factorization.

3333247946496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174269 (or 174246 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 63.

The spelling of 3333247946496 in words is "three trillion, three hundred thirty-three billion, two hundred forty-seven million, nine hundred forty-six thousand, four hundred ninety-six".