12291985637568 has 672 divisors, whose sum is σ = 44801177587712. Its totient is φ = 3134536704000.

The previous prime is 12291985637563. The next prime is 12291985637597. The reversal of 12291985637568 is 86573658919221.

12291985637568 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 1 + 9 + 8 + 56 + 3 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12291985637496 and 12291985637505.

It is not an unprimeable number, because it can be changed into a prime (12291985637563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2409718218 + ... + 2409723318.

Almost surely, 2^{12291985637568} is an apocalyptic number.

12291985637568 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 12291985637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22400588793856).

12291985637568 is an abundant number, since it is smaller than the sum of its proper divisors (32509191950144).

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

12291985637568 is a wasteful number, since it uses less digits than its factorization.

12291985637568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6640 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 12291985637568 in words is "twelve trillion, two hundred ninety-one billion, nine hundred eighty-five million, six hundred thirty-seven thousand, five hundred sixty-eight".