218344101864336 has 2000 divisors, whose sum is σ = 781614773119488. Its totient is φ = 58763045376000.

The previous prime is 218344101864311. The next prime is 218344101864377. The reversal of 218344101864336 is 633468101443812.

218344101864336 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 4 + 410 + 186 + 43 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 711218572695 + ... + 711218573001.

Almost surely, 2^{218344101864336} 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 218344101864336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390807386559744).

218344101864336 is an abundant number, since it is smaller than the sum of its proper divisors (563270671255152).

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

218344101864336 is a wasteful number, since it uses less digits than its factorization.

218344101864336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 218344101864336 in words is "two hundred eighteen trillion, three hundred forty-four billion, one hundred one million, eight hundred sixty-four thousand, three hundred thirty-six".