218197967904576 has 1120 divisors, whose sum is σ = 722093018803200. Its totient is φ = 64595035422720.

The previous prime is 218197967904451. The next prime is 218197967904577. The reversal of 218197967904576 is 675409769791812.

218197967904576 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 9 + 7 + 96 + 79 + 0 + 457 + 6 = 666.

It is a super-2 number, since 2×218197967904576² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 218197967904495 and 218197967904504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218197967904577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 352500755595 + ... + 352500756213.

Almost surely, 2^{218197967904576} 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 218197967904576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361046509401600).

218197967904576 is an abundant number, since it is smaller than the sum of its proper divisors (503895050898624).

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

218197967904576 is a wasteful number, since it uses less digits than its factorization.

218197967904576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 2880541440, while the sum is 81.

The spelling of 218197967904576 in words is "two hundred eighteen trillion, one hundred ninety-seven billion, nine hundred sixty-seven million, nine hundred four thousand, five hundred seventy-six".