12349692618564 has 192 divisors, whose sum is σ = 34744887296000. Its totient is φ = 3409123334400.

The previous prime is 12349692618563. The next prime is 12349692618577. The reversal of 12349692618564 is 46581629694321.

It is a junction number, because it is equal to n+sod(n) for n = 12349692618495 and 12349692618504.

It is not an unprimeable number, because it can be changed into a prime (12349692618563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78903744 + ... + 79060104.

Almost surely, 2^{12349692618564} is an apocalyptic number.

12349692618564 is a gapful number since it is divisible by the number (14) 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 12349692618564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372443648000).

12349692618564 is an abundant number, since it is smaller than the sum of its proper divisors (22395194677436).

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

12349692618564 is a wasteful number, since it uses less digits than its factorization.

12349692618564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157039 (or 157023 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 66.

The spelling of 12349692618564 in words is "twelve trillion, three hundred forty-nine billion, six hundred ninety-two million, six hundred eighteen thousand, five hundred sixty-four".