33400084864 has 32 divisors (see below), whose sum is σ = 66557509200. Its totient is φ = 16695455232.

The previous prime is 33400084853. The next prime is 33400084891. The reversal of 33400084864 is 46848000433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×33400084864² (a number of 22 digits) contains 22 as substring.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 458502 + ... + 526330.

Almost surely, 2^33400084864 is an apocalyptic number.

It is an amenable number.

33400084864 is a deficient number, since it is larger than the sum of its proper divisors (33157424336).

33400084864 is an equidigital number, since it uses as much as digits as its factorization.

33400084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71690 (or 71678 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 33400084864 in words is "thirty-three billion, four hundred million, eighty-four thousand, eight hundred sixty-four".