12079263716928 has 448 divisors, whose sum is σ = 38522802954240. Its totient is φ = 3703030732800.

The previous prime is 12079263716801. The next prime is 12079263716929. The reversal of 12079263716928 is 82961736297021.

12079263716928 is a `hidden beast` number, since 1 + 207 + 9 + 263 + 7 + 169 + 2 + 8 = 666.

It is a super-2 number, since 2×12079263716928² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12079263716929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85155823 + ... + 85297553.

Almost surely, 2^{12079263716928} is an apocalyptic number.

12079263716928 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 12079263716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19261401477120).

12079263716928 is an abundant number, since it is smaller than the sum of its proper divisors (26443539237312).

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

12079263716928 is a wasteful number, since it uses less digits than its factorization.

12079263716928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141863 (or 141847 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 12079263716928 in words is "twelve trillion, seventy-nine billion, two hundred sixty-three million, seven hundred sixteen thousand, nine hundred twenty-eight".