46656100165664 has 96 divisors (see below), whose sum is σ = 102542067936000. Its totient is φ = 20712680352000.

The previous prime is 46656100165663. The next prime is 46656100165667.

46656100165664 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46656100165663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233766587 + ... + 233966085.

It is an arithmetic number, because the mean of its divisors is an integer number (1068146541000).

Almost surely, 2^{46656100165664} is an apocalyptic number.

46656100165664 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 46656100165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51271033968000).

46656100165664 is an abundant number, since it is smaller than the sum of its proper divisors (55885967770336).

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

46656100165664 is a wasteful number, since it uses less digits than its factorization.

46656100165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215014 (or 215006 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 56.

The spelling of 46656100165664 in words is "forty-six trillion, six hundred fifty-six billion, one hundred million, one hundred sixty-five thousand, six hundred sixty-four".