12986481862656 has 480 divisors, whose sum is σ = 40006551705120. Its totient is φ = 4211348226048.

The previous prime is 12986481862637. The next prime is 12986481862699. The reversal of 12986481862656 is 65626818468921.

12986481862656 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 6 + 481 + 86 + 2 + 65 + 6 = 666.

It is a super-2 number, since 2×12986481862656² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1491494655 + ... + 1491503361.

It is an arithmetic number, because the mean of its divisors is an integer number (83346982719).

Almost surely, 2^{12986481862656} is an apocalyptic number.

12986481862656 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 12986481862656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20003275852560).

12986481862656 is an abundant number, since it is smaller than the sum of its proper divisors (27020069842464).

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

12986481862656 is an frugal number, since it uses more digits than its factorization.

12986481862656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8749 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 12986481862656 in words is "twelve trillion, nine hundred eighty-six billion, four hundred eighty-one million, eight hundred sixty-two thousand, six hundred fifty-six".