8146218954720 has 384 divisors, whose sum is σ = 32005028385792. Its totient is φ = 1692053913600.

The previous prime is 8146218954701. The next prime is 8146218954739. The reversal of 8146218954720 is 274598126418.

It is an interprime number because it is at equal distance from previous prime (8146218954701) and next prime (8146218954739).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96682210 + ... + 96766430.

It is an arithmetic number, because the mean of its divisors is an integer number (83346428088).

Almost surely, 2^{8146218954720} is an apocalyptic number.

8146218954720 is a gapful number since it is divisible by the number (80) 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 8146218954720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002514192896).

8146218954720 is an abundant number, since it is smaller than the sum of its proper divisors (23858809431072).

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

8146218954720 is a wasteful number, since it uses less digits than its factorization.

8146218954720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86874 (or 86866 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 8146218954720 in words is "eight trillion, one hundred forty-six billion, two hundred eighteen million, nine hundred fifty-four thousand, seven hundred twenty".