33093971485696 has 297 divisors, whose sum is σ = 74237889192537. Its totient is φ = 14734367662080.

The previous prime is 33093971485693. The next prime is 33093971485763. The reversal of 33093971485696 is 69658417939033.

The square root of 33093971485696 is 5752736.

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

It can be written as a sum of positive squares in only one way, i.e., 5704072422400 + 27389899063296 = 2388320^2 + 5233536^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33093971485693) 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, 119472821110 + ... + 119472821386.

Almost surely, 2^{33093971485696} is an apocalyptic number.

33093971485696 is the 5752736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33093971485696

33093971485696 is an abundant number, since it is smaller than the sum of its proper divisors (41143917706841).

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

33093971485696 is an frugal number, since it uses more digits than its factorization.

33093971485696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 73.

The spelling of 33093971485696 in words is "thirty-three trillion, ninety-three billion, nine hundred seventy-one million, four hundred eighty-five thousand, six hundred ninety-six".