12986453205936 has 240 divisors, whose sum is σ = 43526689113600. Its totient is φ = 3696305574528.

The previous prime is 12986453205917. The next prime is 12986453205949. The reversal of 12986453205936 is 63950235468921.

It is a happy number.

12986453205936 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 6 + 4 + 5 + 32 + 0 + 593 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4400845 + ... + 6733523.

It is an arithmetic number, because the mean of its divisors is an integer number (181361204640).

Almost surely, 2^{12986453205936} is an apocalyptic number.

12986453205936 is a gapful number since it is divisible by the number (16) 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 12986453205936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21763344556800).

12986453205936 is an abundant number, since it is smaller than the sum of its proper divisors (30540235907664).

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

12986453205936 is a wasteful number, since it uses less digits than its factorization.

12986453205936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332973 (or 2332954 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 12986453205936 in words is "twelve trillion, nine hundred eighty-six billion, four hundred fifty-three million, two hundred five thousand, nine hundred thirty-six".