1966417146 has 12 divisors (see below), whose sum is σ = 4260570522. Its totient is φ = 655472376.

The previous prime is 1966417127. The next prime is 1966417171. The reversal of 1966417146 is 6417146691.

1966417146 is a `hidden beast` number, since 1 + 96 + 6 + 417 + 146 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1402877025 + 563540121 = 37455^2 + 23739^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 54622681 + ... + 54622716.

Almost surely, 2^1966417146 is an apocalyptic number.

1966417146 is an abundant number, since it is smaller than the sum of its proper divisors (2294153376).

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

1966417146 is a wasteful number, since it uses less digits than its factorization.

1966417146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109245405 (or 109245402 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1966417146 is about 44344.3022946579. The cubic root of 1966417146 is about 1252.8292492608.

The spelling of 1966417146 in words is "one billion, nine hundred sixty-six million, four hundred seventeen thousand, one hundred forty-six".