46566564 has 48 divisors (see below), whose sum is σ = 119218176. Its totient is φ = 14029600.

The previous prime is 46566563. The next prime is 46566577.

It is a happy number.

46566564 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (46566563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24289 + ... + 26135.

It is an arithmetic number, because the mean of its divisors is an integer number (2483712).

Almost surely, 2^46566564 is an apocalyptic number.

46566564 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 46566564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59609088).

46566564 is an abundant number, since it is smaller than the sum of its proper divisors (72651612).

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

46566564 is a wasteful number, since it uses less digits than its factorization.

46566564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2054 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 46566564 is about 6823.9698123600. The cubic root of 46566564 is about 359.7698219952.

The spelling of 46566564 in words is "forty-six million, five hundred sixty-six thousand, five hundred sixty-four".