12338627380992 has 144 divisors (see below), whose sum is σ = 39804536808960. Its totient is φ = 3738977971200.

The previous prime is 12338627380991. The next prime is 12338627381021. The reversal of 12338627380992 is 29908372683321.

12338627380992 is a `hidden beast` number, since 1 + 23 + 386 + 2 + 73 + 80 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12338627380992² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338627380991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81064984 + ... + 81217047.

Almost surely, 2^{12338627380992} is an apocalyptic number.

12338627380992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12338627380992 is an abundant number, since it is smaller than the sum of its proper divisors (27465909427968).

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

12338627380992 is a wasteful number, since it uses less digits than its factorization.

12338627380992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162282067 (or 162282047 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 12338627380992 in words is "twelve trillion, three hundred thirty-eight billion, six hundred twenty-seven million, three hundred eighty thousand, nine hundred ninety-two".