8068144693248 has 648 divisors, whose sum is σ = 24926961864168. Its totient is φ = 2607663808512.

The previous prime is 8068144693247. The next prime is 8068144693249. The reversal of 8068144693248 is 8423964418608.

8068144693248 is a `hidden beast` number, since 8 + 0 + 6 + 81 + 446 + 93 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8068144693247) and next prime (8068144693249).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8068144693241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58891567036 + ... + 58891567172.

It is an arithmetic number, because the mean of its divisors is an integer number (38467533741).

Almost surely, 2^{8068144693248} 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 8068144693248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463480932084).

8068144693248 is an abundant number, since it is smaller than the sum of its proper divisors (16858817170920).

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

8068144693248 is an frugal number, since it uses more digits than its factorization.

8068144693248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 8068144693248 in words is "eight trillion, sixty-eight billion, one hundred forty-four million, six hundred ninety-three thousand, two hundred forty-eight".