1566146664 has 96 divisors (see below), whose sum is σ = 4424041440. Its totient is φ = 519048000.

The previous prime is 1566146657. The next prime is 1566146689. The reversal of 1566146664 is 4666416651.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349639 + ... + 354089.

It is an arithmetic number, because the mean of its divisors is an integer number (46083765).

Almost surely, 2^1566146664 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 1566146664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212020720).

1566146664 is an abundant number, since it is smaller than the sum of its proper divisors (2857894776).

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

1566146664 is a wasteful number, since it uses less digits than its factorization.

1566146664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4637 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1566146664 is about 39574.5709262905. The cubic root of 1566146664 is about 1161.2992438186.

The spelling of 1566146664 in words is "one billion, five hundred sixty-six million, one hundred forty-six thousand, six hundred sixty-four".