12631142301696 has 552 divisors, whose sum is σ = 40122371736720. Its totient is φ = 3962711310336.

The previous prime is 12631142301671. The next prime is 12631142301703. The reversal of 12631142301696 is 69610324113621.

12631142301696 is a `hidden beast` number, since 1 + 2 + 6 + 311 + 4 + 230 + 16 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743008370680 + ... + 743008370696.

Almost surely, 2^{12631142301696} is an apocalyptic number.

12631142301696 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 12631142301696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061185868360).

12631142301696 is an abundant number, since it is smaller than the sum of its proper divisors (27491229435024).

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

12631142301696 is an frugal number, since it uses more digits than its factorization.

12631142301696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12631142301696 in words is "twelve trillion, six hundred thirty-one billion, one hundred forty-two million, three hundred one thousand, six hundred ninety-six".