33965093064 has 128 divisors (see below), whose sum is σ = 99632332800. Its totient is φ = 9446453760.

The previous prime is 33965093039. The next prime is 33965093081. The reversal of 33965093064 is 46039056933.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3211417 + ... + 3221975.

It is an arithmetic number, because the mean of its divisors is an integer number (778377600).

Almost surely, 2^33965093064 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 33965093064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49816166400).

33965093064 is an abundant number, since it is smaller than the sum of its proper divisors (65667239736).

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

33965093064 is a wasteful number, since it uses less digits than its factorization.

33965093064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11083 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 48.

The spelling of 33965093064 in words is "thirty-three billion, nine hundred sixty-five million, ninety-three thousand, sixty-four".