333049026816 has 243 divisors, whose sum is σ = 1056461659617. Its totient is φ = 100831610880.

The previous prime is 333049026811. The next prime is 333049026823. The reversal of 333049026816 is 618620940333.

The square root of 333049026816 is 577104.

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

333049026816 is a `hidden beast` number, since 3 + 330 + 49 + 0 + 268 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328191494400 + 4857532416 = 572880^2 + 69696^2 .

It is a super-2 number, since 2×333049026816² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (333049026811) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 304710366 + ... + 304711458.

Almost surely, 2^333049026816 is an apocalyptic number.

333049026816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

333049026816 is the 577104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333049026816

333049026816 is an abundant number, since it is smaller than the sum of its proper divisors (723412632801).

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

333049026816 is an equidigital number, since it uses as much as digits as its factorization.

333049026816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 333049026816 in words is "three hundred thirty-three billion, forty-nine million, twenty-six thousand, eight hundred sixteen".