1218166814304 has 144 divisors (see below), whose sum is σ = 3779490274560. Its totient is φ = 369101940480.

The previous prime is 1218166814251. The next prime is 1218166814383. The reversal of 1218166814304 is 4034186618121.

1218166814304 is a `hidden beast` number, since 1 + 2 + 1 + 81 + 66 + 81 + 430 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1218166814304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45374517 + ... + 45401355.

It is an arithmetic number, because the mean of its divisors is an integer number (26246460240).

Almost surely, 2^{1218166814304} is an apocalyptic number.

It is an amenable number.

1218166814304 is an abundant number, since it is smaller than the sum of its proper divisors (2561323460256).

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

1218166814304 is a wasteful number, since it uses less digits than its factorization.

1218166814304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41193 (or 41182 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1218166814304 in words is "one trillion, two hundred eighteen billion, one hundred sixty-six million, eight hundred fourteen thousand, three hundred four".