212582465323264 has 81 divisors (see below), whose sum is σ = 426272518070749. Its totient is φ = 105807986247680.

The previous prime is 212582465323247. The next prime is 212582465323271. The reversal of 212582465323264 is 462323564285212.

The square root of 212582465323264 is 14580208.

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

It can be written as a sum of positive squares in only one way, i.e., 43171207430400 + 169411257892864 = 6570480^2 + 13015808^2 .

It is a super-3 number, since 3×212582465323264³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54355013469 + ... + 54355017379.

Almost surely, 2^{212582465323264} is an apocalyptic number.

212582465323264 is the 14580208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212582465323264

212582465323264 is an abundant number, since it is smaller than the sum of its proper divisors (213690052747485).

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

212582465323264 is an frugal number, since it uses more digits than its factorization.

212582465323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 4146 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 55.

The spelling of 212582465323264 in words is "two hundred twelve trillion, five hundred eighty-two billion, four hundred sixty-five million, three hundred twenty-three thousand, two hundred sixty-four".