218661590662368 has 192 divisors, whose sum is σ = 672095727797760. Its totient is φ = 60953534134272.

The previous prime is 218661590662363. The next prime is 218661590662369. The reversal of 218661590662368 is 863266095166812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218661590662363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10773955 + ... + 23524482.

It is an arithmetic number, because the mean of its divisors is an integer number (3500498582280).

Almost surely, 2^{218661590662368} is an apocalyptic number.

218661590662368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218661590662368 is an abundant number, since it is smaller than the sum of its proper divisors (453434137135392).

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

218661590662368 is a wasteful number, since it uses less digits than its factorization.

218661590662368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34298689 (or 34298681 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 218661590662368 in words is "two hundred eighteen trillion, six hundred sixty-one billion, five hundred ninety million, six hundred sixty-two thousand, three hundred sixty-eight".