33871164048 has 120 divisors (see below), whose sum is σ = 96365617920. Its totient is φ = 11104104960.

The previous prime is 33871164037. The next prime is 33871164049. The reversal of 33871164048 is 84046117833.

It is a super-2 number, since 2×33871164048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33871163994 and 33871164012.

It is not an unprimeable number, because it can be changed into a prime (33871164049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2986228 + ... + 2997548.

It is an arithmetic number, because the mean of its divisors is an integer number (803046816).

Almost surely, 2^33871164048 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 33871164048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48182808960).

33871164048 is an abundant number, since it is smaller than the sum of its proper divisors (62494453872).

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

33871164048 is a wasteful number, since it uses less digits than its factorization.

33871164048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11677 (or 11668 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 33871164048 in words is "thirty-three billion, eight hundred seventy-one million, one hundred sixty-four thousand, forty-eight".