33345342464 has 176 divisors, whose sum is σ = 79603080960. Its totient is φ = 13662535680.

The previous prime is 33345342451. The next prime is 33345342491. The reversal of 33345342464 is 46424354333.

It is a super-2 number, since 2×33345342464² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15646679 + ... + 15648809.

Almost surely, 2^33345342464 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 33345342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39801540480).

33345342464 is an abundant number, since it is smaller than the sum of its proper divisors (46257738496).

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

33345342464 is a wasteful number, since it uses less digits than its factorization.

33345342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2236 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 41.

Adding to 33345342464 its reverse (46424354333), we get a palindrome (79769696797).

The spelling of 33345342464 in words is "thirty-three billion, three hundred forty-five million, three hundred forty-two thousand, four hundred sixty-four".