218193242743872 has 336 divisors, whose sum is σ = 713987272454400. Its totient is φ = 65282208076800.

The previous prime is 218193242743849. The next prime is 218193242743897. The reversal of 218193242743872 is 278347242391812.

218193242743872 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 9 + 3 + 242 + 7 + 4 + 387 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9913222 + ... + 23122682.

It is an arithmetic number, because the mean of its divisors is an integer number (2124962120400).

Almost surely, 2^{218193242743872} is an apocalyptic number.

218193242743872 is a gapful number since it is divisible by the number (22) 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 218193242743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356993636227200).

218193242743872 is an abundant number, since it is smaller than the sum of its proper divisors (495794029710528).

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

218193242743872 is a wasteful number, since it uses less digits than its factorization.

218193242743872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13209583 (or 13209556 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 218193242743872 in words is "two hundred eighteen trillion, one hundred ninety-three billion, two hundred forty-two million, seven hundred forty-three thousand, eight hundred seventy-two".