46634843664 has 320 divisors, whose sum is σ = 146290636800. Its totient is φ = 14174092800.

The previous prime is 46634843657. The next prime is 46634843729.

46634843664 is a `hidden beast` number, since 46 + 63 + 484 + 3 + 6 + 64 = 666.

46634843664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46634843664.

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 63 ways as a sum of consecutive naturals, for example, 25058094 + ... + 25059954.

It is an arithmetic number, because the mean of its divisors is an integer number (457158240).

Almost surely, 2^46634843664 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 46634843664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73145318400).

46634843664 is an abundant number, since it is smaller than the sum of its proper divisors (99655793136).

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

46634843664 is a wasteful number, since it uses less digits than its factorization.

46634843664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1999 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 54.

The spelling of 46634843664 in words is "forty-six billion, six hundred thirty-four million, eight hundred forty-three thousand, six hundred sixty-four".