33136193664 has 256 divisors, whose sum is σ = 112346880000. Its totient is φ = 9418540032.

The previous prime is 33136193621. The next prime is 33136193683. The reversal of 33136193664 is 46639163133.

It is a super-2 number, since 2×33136193664² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4810767 + ... + 4817649.

It is an arithmetic number, because the mean of its divisors is an integer number (438855000).

Almost surely, 2^33136193664 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 33136193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56173440000).

33136193664 is an abundant number, since it is smaller than the sum of its proper divisors (79210686336).

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

33136193664 is a wasteful number, since it uses less digits than its factorization.

33136193664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7112 (or 7094 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The spelling of 33136193664 in words is "thirty-three billion, one hundred thirty-six million, one hundred ninety-three thousand, six hundred sixty-four".