212464842912 has 480 divisors, whose sum is σ = 757948181760. Its totient is φ = 56995799040.

The previous prime is 212464842901. The next prime is 212464842943. The reversal of 212464842912 is 219248464212.

212464842912 is a `hidden beast` number, since 21 + 2 + 464 + 84 + 2 + 91 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 253235389 + ... + 253236227.

It is an arithmetic number, because the mean of its divisors is an integer number (1579058712).

Almost surely, 2^212464842912 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 212464842912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378974090880).

212464842912 is an abundant number, since it is smaller than the sum of its proper divisors (545483338848).

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

212464842912 is a wasteful number, since it uses less digits than its factorization.

212464842912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1689 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 212464842912 in words is "two hundred twelve billion, four hundred sixty-four million, eight hundred forty-two thousand, nine hundred twelve".