212295314448 has 400 divisors, whose sum is σ = 733904455680. Its totient is φ = 57979660032.

The previous prime is 212295314443. The next prime is 212295314453. The reversal of 212295314448 is 844413592212.

212295314448 is a `hidden beast` number, since 2 + 1 + 2 + 295 + 314 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (212295314443) and next prime (212295314453).

It is not an unprimeable number, because it can be changed into a prime (212295314443) 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 79 ways as a sum of consecutive naturals, for example, 18328723 + ... + 18340301.

Almost surely, 2^212295314448 is an apocalyptic number.

212295314448 is a gapful number since it is divisible by the number (28) 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 212295314448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366952227840).

212295314448 is an abundant number, since it is smaller than the sum of its proper divisors (521609141232).

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

212295314448 is a wasteful number, since it uses less digits than its factorization.

212295314448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11696 (or 11681 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 212295314448 in words is "two hundred twelve billion, two hundred ninety-five million, three hundred fourteen thousand, four hundred forty-eight".