212113664 has 72 divisors (see below), whose sum is σ = 495858048. Its totient is φ = 88657920.

The previous prime is 212113661. The next prime is 212113667. The reversal of 212113664 is 466311212.

It is an interprime number because it is at equal distance from previous prime (212113661) and next prime (212113667).

It is not an unprimeable number, because it can be changed into a prime (212113661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72029 + ... + 74915.

Almost surely, 2^212113664 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 212113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247929024).

212113664 is an abundant number, since it is smaller than the sum of its proper divisors (283744384).

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

212113664 is an equidigital number, since it uses as much as digits as its factorization.

212113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2937 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 212113664 is about 14564.1224933053. The cubic root of 212113664 is about 596.3797408807.

Adding to 212113664 its reverse (466311212), we get a palindrome (678424876).

The spelling of 212113664 in words is "two hundred twelve million, one hundred thirteen thousand, six hundred sixty-four".