1966814226 has 72 divisors (see below), whose sum is σ = 4815248256. Its totient is φ = 578841120.

The previous prime is 1966814221. The next prime is 1966814233. The reversal of 1966814226 is 6224186691.

It is not an unprimeable number, because it can be changed into a prime (1966814221) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55911 + ... + 84021.

It is an arithmetic number, because the mean of its divisors is an integer number (66878448).

Almost surely, 2^1966814226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966814226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407624128).

1966814226 is an abundant number, since it is smaller than the sum of its proper divisors (2848434030).

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

1966814226 is a wasteful number, since it uses less digits than its factorization.

1966814226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28168 (or 28152 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1966814226 is about 44348.7793067633. The cubic root of 1966814226 is about 1252.9135718164.

The spelling of 1966814226 in words is "one billion, nine hundred sixty-six million, eight hundred fourteen thousand, two hundred twenty-six".