12088284713568 has 576 divisors, whose sum is σ = 41787534297600. Its totient is φ = 3310226777088.

The previous prime is 12088284713539. The next prime is 12088284713599. The reversal of 12088284713568 is 86531748288021.

12088284713568 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 8 + 28 + 47 + 1 + 3 + 568 = 666.

12088284713568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12088284713568² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244860855 + ... + 244910217.

It is an arithmetic number, because the mean of its divisors is an integer number (72547802600).

Almost surely, 2^{12088284713568} is an apocalyptic number.

12088284713568 is a gapful number since it is divisible by the number (18) 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 12088284713568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20893767148800).

12088284713568 is an abundant number, since it is smaller than the sum of its proper divisors (29699249584032).

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

12088284713568 is a wasteful number, since it uses less digits than its factorization.

12088284713568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49504 (or 49479 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 12088284713568 in words is "twelve trillion, eighty-eight billion, two hundred eighty-four million, seven hundred thirteen thousand, five hundred sixty-eight".