33097009000000 has 441 divisors, whose sum is σ = 90409569754413. Its totient is φ = 12012264000000.

The previous prime is 33097008999973. The next prime is 33097009000087. The reversal of 33097009000000 is 90079033.

The square root of 33097009000000 is 5753000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 28996157196864 + 4100851803136 = 5384808^2 + 2025056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 63282999739 + ... + 63283000261.

Almost surely, 2^{33097009000000} is an apocalyptic number.

33097009000000 is the 5753000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33097009000000

33097009000000 is an abundant number, since it is smaller than the sum of its proper divisors (57312560754413).

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

33097009000000 is an frugal number, since it uses more digits than its factorization.

33097009000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 31.

Adding to 33097009000000 its reverse (90079033), we get a palindrome (33097099079033).

The spelling of 33097009000000 in words is "thirty-three trillion, ninety-seven billion, nine million", and thus it is an aban number and an uban number.