218542201831968 has 192 divisors, whose sum is σ = 657297198931968. Its totient is φ = 62281591004160.

The previous prime is 218542201831963. The next prime is 218542201831979. The reversal of 218542201831968 is 869138102245812.

It is not an unprimeable number, because it can be changed into a prime (218542201831963) 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, 1308184221 + ... + 1308351267.

It is an arithmetic number, because the mean of its divisors is an integer number (3423422911104).

Almost surely, 2^{218542201831968} is an apocalyptic number.

218542201831968 is a gapful number since it is divisible by the number (28) 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 218542201831968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648599465984).

218542201831968 is an abundant number, since it is smaller than the sum of its proper divisors (438754997100000).

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

218542201831968 is a wasteful number, since it uses less digits than its factorization.

218542201831968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172015 (or 172007 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 218542201831968 in words is "two hundred eighteen trillion, five hundred forty-two billion, two hundred one million, eight hundred thirty-one thousand, nine hundred sixty-eight".