33145316600000 has 336 divisors, whose sum is σ = 89739758787840. Its totient is φ = 12045398400000.

The previous prime is 33145316599999. The next prime is 33145316600003. The reversal of 33145316600000 is 661354133.

It is a super-2 number, since 2×33145316600000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 33145316600000.

It is not an unprimeable number, because it can be changed into a prime (33145316600003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4591396391 + ... + 4591403609.

It is an arithmetic number, because the mean of its divisors is an integer number (267082615440).

Almost surely, 2^{33145316600000} 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 33145316600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44869879393920).

33145316600000 is an abundant number, since it is smaller than the sum of its proper divisors (56594442187840).

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

33145316600000 is an equidigital number, since it uses as much as digits as its factorization.

33145316600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 33145316600000 its reverse (661354133), we get a palindrome (33145977954133).

The spelling of 33145316600000 in words is "thirty-three trillion, one hundred forty-five billion, three hundred sixteen million, six hundred thousand".