33804449990010 has 288 divisors, whose sum is σ = 106069751424000. Its totient is φ = 7439900751360.

The previous prime is 33804449989949. The next prime is 33804449990081. The reversal of 33804449990010 is 1009994440833.

33804449990010 is a `hidden beast` number, since 33 + 80 + 4 + 449 + 9 + 90 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×33804449990010² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26584006 + ... + 27826574.

It is an arithmetic number, because the mean of its divisors is an integer number (368297748000).

Almost surely, 2^{33804449990010} is an apocalyptic number.

33804449990010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33804449990010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53034875712000).

33804449990010 is an abundant number, since it is smaller than the sum of its proper divisors (72265301433990).

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

33804449990010 is a wasteful number, since it uses less digits than its factorization.

33804449990010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242826 (or 1242816 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 33804449990010 in words is "thirty-three trillion, eight hundred four billion, four hundred forty-nine million, nine hundred ninety thousand, ten".