212341948416 has 680 divisors, whose sum is σ = 727384281624. Its totient is φ = 61152952320.

The previous prime is 212341948411. The next prime is 212341948417. The reversal of 212341948416 is 614849143212.

212341948416 is a `hidden beast` number, since 2 + 12 + 34 + 194 + 8 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 212336640000 = 2304^2 + 460800^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (331776) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212341948411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1173159846 + ... + 1173160026.

Almost surely, 2^212341948416 is an apocalyptic number.

212341948416 is a gapful number since it is divisible by the number (26) 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 212341948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363692140812).

212341948416 is an abundant number, since it is smaller than the sum of its proper divisors (515042333208).

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

212341948416 is an equidigital number, since it uses as much as digits as its factorization.

212341948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 216 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 212341948416 in words is "two hundred twelve billion, three hundred forty-one million, nine hundred forty-eight thousand, four hundred sixteen".