8214216213760 has 36 divisors (see below), whose sum is σ = 19675614777588. Its totient is φ = 3285686484992.

The previous prime is 8214216213751. The next prime is 8214216213787. The reversal of 8214216213760 is 673126124128.

It can be written as a sum of positive squares in 2 ways, for example, as 4294576496896 + 3919639716864 = 2072336^2 + 1979808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3208676929 + ... + 3208679488.

It is an arithmetic number, because the mean of its divisors is an integer number (546544854933).

Almost surely, 2^{8214216213760} is an apocalyptic number.

8214216213760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8214216213760 is an abundant number, since it is smaller than the sum of its proper divisors (11461398563828).

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

8214216213760 is an equidigital number, since it uses as much as digits as its factorization.

8214216213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417356438 (or 6417356424 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 8214216213760 in words is "eight trillion, two hundred fourteen billion, two hundred sixteen million, two hundred thirteen thousand, seven hundred sixty".