1966433112 has 240 divisors, whose sum is σ = 6785820360. Its totient is φ = 528643584.

The previous prime is 1966433089. The next prime is 1966433159. The reversal of 1966433112 is 2113346691.

1966433112 is a `hidden beast` number, since 1 + 9 + 6 + 643 + 3 + 1 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 537963 + ... + 541605.

Almost surely, 2^1966433112 is an apocalyptic number.

1966433112 is a gapful number since it is divisible by the number (12) 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 1966433112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392910180).

1966433112 is an abundant number, since it is smaller than the sum of its proper divisors (4819387248).

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

1966433112 is a wasteful number, since it uses less digits than its factorization.

1966433112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3672 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1966433112 is about 44344.4823174203. The cubic root of 1966433112 is about 1252.8326399652.

The spelling of 1966433112 in words is "one billion, nine hundred sixty-six million, four hundred thirty-three thousand, one hundred twelve".