212712819264 has 189 divisors, whose sum is σ = 670553123331. Its totient is φ = 64421533440.

The previous prime is 212712819259. The next prime is 212712819269. The reversal of 212712819264 is 462918217212.

The square root of 212712819264 is 461208.

It is a perfect power (a square), and thus also a powerful number.

212712819264 is a `hidden beast` number, since 212 + 71 + 281 + 92 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (212712819259) and next prime (212712819269).

It is not an unprimeable number, because it can be changed into a prime (212712819269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 121758039 + ... + 121759785.

Almost surely, 2^212712819264 is an apocalyptic number.

212712819264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

212712819264 is the 461208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212712819264

212712819264 is an abundant number, since it is smaller than the sum of its proper divisors (457840304067).

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

212712819264 is an equidigital number, since it uses as much as digits as its factorization.

212712819264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 1763 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 212712819264 in words is "two hundred twelve billion, seven hundred twelve million, eight hundred nineteen thousand, two hundred sixty-four".