12145812168348 has 48 divisors (see below), whose sum is σ = 31493468348160. Its totient is φ = 4048047896112.

The previous prime is 12145812168251. The next prime is 12145812168353. The reversal of 12145812168348 is 84386121854121.

12145812168348 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 5 + 81 + 216 + 8 + 348 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12145812168294 and 12145812168303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6934240 + ... + 8507367.

It is an arithmetic number, because the mean of its divisors is an integer number (656113923920).

Almost surely, 2^{12145812168348} is an apocalyptic number.

12145812168348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12145812168348 is an abundant number, since it is smaller than the sum of its proper divisors (19347656179812).

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

12145812168348 is a wasteful number, since it uses less digits than its factorization.

12145812168348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15448903 (or 15448895 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 12145812168348 in words is "twelve trillion, one hundred forty-five billion, eight hundred twelve million, one hundred sixty-eight thousand, three hundred forty-eight".