12642137856 has 180 divisors, whose sum is σ = 39915125712. Its totient is φ = 3966050304.

The previous prime is 12642137803. The next prime is 12642137861. The reversal of 12642137856 is 65873124621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 334581 + ... + 370443.

Almost surely, 2^12642137856 is an apocalyptic number.

12642137856 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 12642137856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19957562856).

12642137856 is an abundant number, since it is smaller than the sum of its proper divisors (27272987856).

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

12642137856 is an equidigital number, since it uses as much as digits as its factorization.

12642137856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35908 (or 35885 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 12642137856 in words is "twelve billion, six hundred forty-two million, one hundred thirty-seven thousand, eight hundred fifty-six".