33090549090912 has 192 divisors, whose sum is σ = 100163233497600. Its totient is φ = 10615585559040.

The previous prime is 33090549090901. The next prime is 33090549090923. The reversal of 33090549090912 is 21909094509033.

33090549090912 is a `hidden beast` number, since 3 + 3 + 0 + 9 + 0 + 549 + 0 + 9 + 0 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (33090549090901) and next prime (33090549090923).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5669163 + ... + 9915669.

It is an arithmetic number, because the mean of its divisors is an integer number (521683507800).

Almost surely, 2^{33090549090912} is an apocalyptic number.

33090549090912 is a gapful number since it is divisible by the number (32) 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 33090549090912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50081616748800).

33090549090912 is an abundant number, since it is smaller than the sum of its proper divisors (67072684406688).

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

33090549090912 is a wasteful number, since it uses less digits than its factorization.

33090549090912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246866 (or 4246852 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 33090549090912 in words is "thirty-three trillion, ninety billion, five hundred forty-nine million, ninety thousand, nine hundred twelve".