8121414336768 has 648 divisors, whose sum is σ = 26006180508672. Its totient is φ = 2527121866752.

The previous prime is 8121414336701. The next prime is 8121414336769. The reversal of 8121414336768 is 8676334141218.

8121414336768 is a `hidden beast` number, since 8 + 1 + 2 + 141 + 433 + 6 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8121414336769) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2283218446 + ... + 2283222002.

Almost surely, 2^{8121414336768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8121414336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13003090254336).

8121414336768 is an abundant number, since it is smaller than the sum of its proper divisors (17884766171904).

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

8121414336768 is a wasteful number, since it uses less digits than its factorization.

8121414336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3706 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 8121414336768 in words is "eight trillion, one hundred twenty-one billion, four hundred fourteen million, three hundred thirty-six thousand, seven hundred sixty-eight".