212846432256 has 156 divisors (see below), whose sum is σ = 650982116772. Its totient is φ = 66775154688.

The previous prime is 212846432243. The next prime is 212846432269. The reversal of 212846432256 is 652234648212.

It is a happy number.

212846432256 is a `hidden beast` number, since 2 + 128 + 46 + 432 + 2 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (212846432243) and next prime (212846432269).

It can be written as a sum of positive squares in 2 ways, for example, as 170403840000 + 42442592256 = 412800^2 + 206016^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 456870 + ... + 796506.

It is an arithmetic number, because the mean of its divisors is an integer number (4172962287).

Almost surely, 2^212846432256 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 212846432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325491058386).

212846432256 is an abundant number, since it is smaller than the sum of its proper divisors (438135684516).

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

212846432256 is a wasteful number, since it uses less digits than its factorization.

212846432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339684 (or 339659 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 212846432256 in words is "two hundred twelve billion, eight hundred forty-six million, four hundred thirty-two thousand, two hundred fifty-six".