12518665883136 has 1120 divisors, whose sum is σ = 45298047168000. Its totient is φ = 3374818836480.

The previous prime is 12518665883123. The next prime is 12518665883147. The reversal of 12518665883136 is 63138856681521.

12518665883136 is a `hidden beast` number, since 1 + 2 + 5 + 18 + 6 + 6 + 588 + 3 + 1 + 36 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20899274965 + ... + 20899275563.

Almost surely, 2^{12518665883136} is an apocalyptic number.

12518665883136 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 12518665883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649023584000).

12518665883136 is an abundant number, since it is smaller than the sum of its proper divisors (32779381284864).

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

12518665883136 is an frugal number, since it uses more digits than its factorization.

12518665883136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1051 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 12518665883136 in words is "twelve trillion, five hundred eighteen billion, six hundred sixty-five million, eight hundred eighty-three thousand, one hundred thirty-six".