46686668664 has 64 divisors (see below), whose sum is σ = 119103626880. Its totient is φ = 15246000000.

The previous prime is 46686668629. The next prime is 46686668713.

46686668664 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 46686668595 and 46686668604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303939 + ... + 430989.

It is an arithmetic number, because the mean of its divisors is an integer number (1860994170).

Almost surely, 2^46686668664 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 46686668664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59551813440).

46686668664 is an abundant number, since it is smaller than the sum of its proper divisors (72416958216).

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

46686668664 is a wasteful number, since it uses less digits than its factorization.

46686668664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127372 (or 127368 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 66.

The spelling of 46686668664 in words is "forty-six billion, six hundred eighty-six million, six hundred sixty-eight thousand, six hundred sixty-four".