46656000001 has 32 divisors (see below), whose sum is σ = 52039869728. Its totient is φ = 41549967360.

The previous prime is 46655999989. The next prime is 46656000007. The reversal of 46656000001 is 10000065664.

It is a Cunningham number, because it is equal to 60⁶+1.

It can be written as a sum of positive squares in 16 ways, for example, as 403045776 + 46252954225 = 20076^2 + 215065^2 .

It is a cyclic number.

It is not a de Polignac number, because 46656000001 - 2¹¹ = 46655997953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46656000007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32109391 + ... + 32110843.

It is an arithmetic number, because the mean of its divisors is an integer number (1626245929).

Almost surely, 2^46656000001 is an apocalyptic number.

It is an amenable number.

46656000001 is a deficient number, since it is larger than the sum of its proper divisors (5383869727).

46656000001 is a wasteful number, since it uses less digits than its factorization.

46656000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 46656000001 its reverse (10000065664), we get a palindrome (56656065665).

The spelling of 46656000001 in words is "forty-six billion, six hundred fifty-six million, one", and thus it is an aban number.