216430985672 has 24 divisors (see below), whose sum is σ = 446053531350. Its totient is φ = 98377720320.

The previous prime is 216430985651. The next prime is 216430985677. The reversal of 216430985672 is 276589034612.

It can be written as a sum of positive squares in only one way, i.e., 204653092996 + 11777892676 = 452386^2 + 108526^2 .

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (216430985677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111791897 + ... + 111793832.

It is a 1-persistent number, because it is pandigital, but 2⋅216430985672 = 432861971344 is not.

Almost surely, 2^216430985672 is an apocalyptic number.

216430985672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216430985672 is an abundant number, since it is smaller than the sum of its proper divisors (229622545678).

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

216430985672 is a wasteful number, since it uses less digits than its factorization.

216430985672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223585757 (or 223585742 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 216430985672 in words is "two hundred sixteen billion, four hundred thirty million, nine hundred eighty-five thousand, six hundred seventy-two".