218634774912 has 144 divisors (see below), whose sum is σ = 653311514700. Its totient is φ = 72877978368.

The previous prime is 218634774899. The next prime is 218634774931. The reversal of 218634774912 is 219477436812.

218634774912 is a `hidden beast` number, since 2 + 1 + 86 + 3 + 4 + 77 + 491 + 2 = 666.

218634774912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 709639 + ... + 969977.

Almost surely, 2^218634774912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218634774912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326655757350).

218634774912 is an abundant number, since it is smaller than the sum of its proper divisors (434676739788).

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

218634774912 is an frugal number, since it uses more digits than its factorization.

218634774912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260377 (or 260344 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 218634774912 in words is "two hundred eighteen billion, six hundred thirty-four million, seven hundred seventy-four thousand, nine hundred twelve".