212460959744 has 384 divisors, whose sum is σ = 509483520000. Its totient is φ = 87534305280.

The previous prime is 212460959741. The next prime is 212460959747. The reversal of 212460959744 is 447959064212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212460959741) and next prime (212460959747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212460959741) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1186932647 + ... + 1186932825.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780000).

Almost surely, 2^212460959744 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 212460959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760000).

212460959744 is an abundant number, since it is smaller than the sum of its proper divisors (297022560256).

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

212460959744 is a wasteful number, since it uses less digits than its factorization.

212460959744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 212460959744 in words is "two hundred twelve billion, four hundred sixty million, nine hundred fifty-nine thousand, seven hundred forty-four".