33145412870304 has 576 divisors, whose sum is σ = 115119826698240. Its totient is φ = 8846709166080.

The previous prime is 33145412870293. The next prime is 33145412870309. The reversal of 33145412870304 is 40307821454133.

It is a happy number.

33145412870304 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 541 + 2 + 8 + 70 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 33145412870304.

It is not an unprimeable number, because it can be changed into a prime (33145412870309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214346487 + ... + 214501065.

It is an arithmetic number, because the mean of its divisors is an integer number (199860810240).

Almost surely, 2^{33145412870304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33145412870304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57559913349120).

33145412870304 is an abundant number, since it is smaller than the sum of its proper divisors (81974413827936).

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

33145412870304 is a wasteful number, since it uses less digits than its factorization.

33145412870304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154753 (or 154742 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 33145412870304 in words is "thirty-three trillion, one hundred forty-five billion, four hundred twelve million, eight hundred seventy thousand, three hundred four".