46566066564 has 96 divisors (see below), whose sum is σ = 122176252800. Its totient is φ = 15336316800.

The previous prime is 46566066529. The next prime is 46566066577.

46566066564 is a `hidden beast` number, since 465 + 6 + 60 + 6 + 65 + 64 = 666.

46566066564 is nontrivially palindromic in base 10.

46566066564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46566066564.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5547979 + ... + 5556365.

It is an arithmetic number, because the mean of its divisors is an integer number (1272669300).

Almost surely, 2^46566066564 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 46566066564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61088126400).

46566066564 is an abundant number, since it is smaller than the sum of its proper divisors (75610186236).

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

46566066564 is a wasteful number, since it uses less digits than its factorization.

46566066564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9010 (or 9002 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 46566066564 in words is "forty-six billion, five hundred sixty-six million, sixty-six thousand, five hundred sixty-four".