212665642016 has 96 divisors (see below), whose sum is σ = 451678450608. Its totient is φ = 98207334400.

The previous prime is 212665641967. The next prime is 212665642037. The reversal of 212665642016 is 610246566212.

It can be written as a sum of positive squares in 8 ways, for example, as 95567539600 + 117098102416 = 309140^2 + 342196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6191546 + ... + 6225798.

Almost surely, 2^212665642016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212665642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225839225304).

212665642016 is an abundant number, since it is smaller than the sum of its proper divisors (239012808592).

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

212665642016 is a wasteful number, since it uses less digits than its factorization.

212665642016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34494 (or 34486 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 212665642016 in words is "two hundred twelve billion, six hundred sixty-five million, six hundred forty-two thousand, sixteen".