212764946055312 has 320 divisors, whose sum is σ = 640571029401600. Its totient is φ = 59601449656320.

The previous prime is 212764946055289. The next prime is 212764946055463. The reversal of 212764946055312 is 213550649467212.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5167061668 + ... + 5167102844.

It is an arithmetic number, because the mean of its divisors is an integer number (2001784466880).

Almost surely, 2^{212764946055312} 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 212764946055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320285514700800).

212764946055312 is an abundant number, since it is smaller than the sum of its proper divisors (427806083346288).

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

212764946055312 is a wasteful number, since it uses less digits than its factorization.

212764946055312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42734 (or 42728 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 212764946055312 in words is "two hundred twelve trillion, seven hundred sixty-four billion, nine hundred forty-six million, fifty-five thousand, three hundred twelve".