33864161344 has 56 divisors (see below), whose sum is σ = 72397450328. Its totient is φ = 15623331840.

The previous prime is 33864161327. The next prime is 33864161363. The reversal of 33864161344 is 44316146833.

It can be written as a sum of positive squares in 4 ways, for example, as 480486400 + 33383674944 = 21920^2 + 182712^2 .

It is a super-2 number, since 2×33864161344² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33864161344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2540104 + ... + 2553400.

It is an arithmetic number, because the mean of its divisors is an integer number (1292811613).

Almost surely, 2^33864161344 is an apocalyptic number.

It is an amenable number.

33864161344 is an abundant number, since it is smaller than the sum of its proper divisors (38533288984).

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

33864161344 is a wasteful number, since it uses less digits than its factorization.

33864161344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16383 (or 16373 counting only the distinct ones).

The product of its digits is 497664, while the sum is 43.

The spelling of 33864161344 in words is "thirty-three billion, eight hundred sixty-four million, one hundred sixty-one thousand, three hundred forty-four".