33145289681200 has 30 divisors (see below), whose sum is σ = 79631558460044. Its totient is φ = 13258115872320.

The previous prime is 33145289681113. The next prime is 33145289681209. The reversal of 33145289681200 is 218698254133.

It is a super-2 number, since 2×33145289681200² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33145289681209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41431611702 + ... + 41431612501.

Almost surely, 2^{33145289681200} is an apocalyptic number.

It is an amenable number.

33145289681200 is an abundant number, since it is smaller than the sum of its proper divisors (46486268778844).

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

33145289681200 is a wasteful number, since it uses less digits than its factorization.

33145289681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82863224221 (or 82863224210 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 33145289681200 in words is "thirty-three trillion, one hundred forty-five billion, two hundred eighty-nine million, six hundred eighty-one thousand, two hundred".