33445340064 has 144 divisors (see below), whose sum is σ = 100207860480. Its totient is φ = 10551997440.

The previous prime is 33445340063. The next prime is 33445340087. The reversal of 33445340064 is 46004354433.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33445340064² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33445340063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8101969 + ... + 8106095.

It is an arithmetic number, because the mean of its divisors is an integer number (695887920).

Almost surely, 2^33445340064 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 33445340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50103930240).

33445340064 is an abundant number, since it is smaller than the sum of its proper divisors (66762520416).

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

33445340064 is a wasteful number, since it uses less digits than its factorization.

33445340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 33445340064 its reverse (46004354433), we get a palindrome (79449694497).

The spelling of 33445340064 in words is "thirty-three billion, four hundred forty-five million, three hundred forty thousand, sixty-four".