8212117140864 has 384 divisors, whose sum is σ = 30022805729280. Its totient is φ = 2095966679040.

The previous prime is 8212117140859. The next prime is 8212117140893. The reversal of 8212117140864 is 4680417112128.

8212117140864 is a `hidden beast` number, since 8 + 2 + 12 + 1 + 171 + 408 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1986309 + ... + 4513275.

It is an arithmetic number, because the mean of its divisors is an integer number (78184389920).

Almost surely, 2^{8212117140864} is an apocalyptic number.

8212117140864 is a gapful number since it is divisible by the number (84) 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 8212117140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15011402864640).

8212117140864 is an abundant number, since it is smaller than the sum of its proper divisors (21810688588416).

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

8212117140864 is a wasteful number, since it uses less digits than its factorization.

8212117140864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527038 (or 2527023 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 8212117140864 in words is "eight trillion, two hundred twelve billion, one hundred seventeen million, one hundred forty thousand, eight hundred sixty-four".