216161946 has 320 divisors, whose sum is σ = 686923776. Its totient is φ = 48988800.

The previous prime is 216161941. The next prime is 216161947. The reversal of 216161946 is 649161612.

216161946 is a `hidden beast` number, since 21 + 616 + 19 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 216161946.

It is not an unprimeable number, because it can be changed into a prime (216161941) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5027001 + ... + 5027043.

Almost surely, 2^216161946 is an apocalyptic number.

216161946 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 216161946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343461888).

216161946 is an abundant number, since it is smaller than the sum of its proper divisors (470761830).

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

216161946 is a wasteful number, since it uses less digits than its factorization.

216161946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 216161946 is about 14702.4469392003. The cubic root of 216161946 is about 600.1499125406.

The spelling of 216161946 in words is "two hundred sixteen million, one hundred sixty-one thousand, nine hundred forty-six".