212843096064 has 240 divisors, whose sum is σ = 649296648000. Its totient is φ = 69435629568.

The previous prime is 212843096051. The next prime is 212843096083. The reversal of 212843096064 is 460690348212.

212843096064 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 4 + 30 + 9 + 606 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7783087 + ... + 7810385.

It is an arithmetic number, because the mean of its divisors is an integer number (2705402700).

Almost surely, 2^212843096064 is an apocalyptic number.

212843096064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212843096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324648324000).

212843096064 is an abundant number, since it is smaller than the sum of its proper divisors (436453551936).

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

212843096064 is an equidigital number, since it uses as much as digits as its factorization.

212843096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27380 (or 27351 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 212843096064 in words is "two hundred twelve billion, eight hundred forty-three million, ninety-six thousand, sixty-four".