12181663154304 has 2304 divisors, whose sum is σ = 46559784960000. Its totient is φ = 3047753060352.

The previous prime is 12181663154291. The next prime is 12181663154333. The reversal of 12181663154304 is 40345136618121.

It is a happy number.

12181663154304 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 1 + 6 + 631 + 5 + 4 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12181663154304.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 154198267737 + ... + 154198267815.

It is an arithmetic number, because the mean of its divisors is an integer number (20208240000).

Almost surely, 2^{12181663154304} is an apocalyptic number.

12181663154304 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 12181663154304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279892480000).

12181663154304 is an abundant number, since it is smaller than the sum of its proper divisors (34378121805696).

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

12181663154304 is a wasteful number, since it uses less digits than its factorization.

12181663154304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12181663154304 in words is "twelve trillion, one hundred eighty-one billion, six hundred sixty-three million, one hundred fifty-four thousand, three hundred four".