1664966416 has 25 divisors (see below), whose sum is σ = 3258131155. Its totient is φ = 824240800.

The previous prime is 1664966353. The next prime is 1664966419. The reversal of 1664966416 is 6146694661.

The square root of 1664966416 is 40804.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1414060816 + 250905600 = 37604^2 + 15840^2 .

It is a super-2 number, since 2×1664966416² = 5544226332815770112, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1664966416.

It is not an unprimeable number, because it can be changed into a prime (1664966419) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 16484766 + ... + 16484866.

Almost surely, 2^1664966416 is an apocalyptic number.

1664966416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1664966416 is the 40804-th square number.

It is an amenable number.

1664966416 is a deficient number, since it is larger than the sum of its proper divisors (1593164739).

1664966416 is an frugal number, since it uses more digits than its factorization.

1664966416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 103 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 49.

The cubic root of 1664966416 is about 1185.2277903054.

Multiplying 1664966416 by its sum of digits (49), we get a square (81583354384 = 285628²).

The spelling of 1664966416 in words is "one billion, six hundred sixty-four million, nine hundred sixty-six thousand, four hundred sixteen".