46633833664 has 84 divisors (see below), whose sum is σ = 101991236200. Its totient is φ = 21139937280.

The previous prime is 46633833613. The next prime is 46633833683.

46633833664 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2927032 + ... + 2942920.

Almost surely, 2^46633833664 is an apocalyptic number.

46633833664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46633833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50995618100).

46633833664 is an abundant number, since it is smaller than the sum of its proper divisors (55357402536).

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

46633833664 is a wasteful number, since it uses less digits than its factorization.

46633833664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16302 (or 16281 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 52.

The spelling of 46633833664 in words is "forty-six billion, six hundred thirty-three million, eight hundred thirty-three thousand, six hundred sixty-four".