33093944064 has 144 divisors (see below), whose sum is σ = 103621724640. Its totient is φ = 10382376960.

The previous prime is 33093944033. The next prime is 33093944069. The reversal of 33093944064 is 46044939033.

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

It is a super-2 number, since 2×33093944064² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33093944069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23317 + ... + 258324.

It is an arithmetic number, because the mean of its divisors is an integer number (719595310).

Almost surely, 2^33093944064 is an apocalyptic number.

33093944064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33093944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51810862320).

33093944064 is an abundant number, since it is smaller than the sum of its proper divisors (70527780576).

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

33093944064 is a wasteful number, since it uses less digits than its factorization.

33093944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281683 (or 281663 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 33093944064 in words is "thirty-three billion, ninety-three million, nine hundred forty-four thousand, sixty-four".