33100008864 has 192 divisors, whose sum is σ = 99053539200. Its totient is φ = 9604288512.

The previous prime is 33100008803. The next prime is 33100008911. The reversal of 33100008864 is 46880000133.

It is a super-2 number, since 2×33100008864² (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545622 + ... + 1566890.

It is an arithmetic number, because the mean of its divisors is an integer number (515903850).

Almost surely, 2^33100008864 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 33100008864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49526769600).

33100008864 is an abundant number, since it is smaller than the sum of its proper divisors (65953530336).

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

33100008864 is a wasteful number, since it uses less digits than its factorization.

33100008864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21367 (or 21359 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 33100008864 its reverse (46880000133), we get a palindrome (79980008997).

The spelling of 33100008864 in words is "thirty-three billion, one hundred million, eight thousand, eight hundred sixty-four".