218151643299280 has 160 divisors (see below), whose sum is σ = 558534245091840. Its totient is φ = 78896515276800.

The previous prime is 218151643299277. The next prime is 218151643299283. The reversal of 218151643299280 is 82992346151812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (218151643299277) and next prime (218151643299283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218151643299283) 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 31 ways as a sum of consecutive naturals, for example, 23463246 + ... + 31413805.

It is an arithmetic number, because the mean of its divisors is an integer number (3490839031824).

Almost surely, 2^{218151643299280} is an apocalyptic number.

218151643299280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218151643299280 is an abundant number, since it is smaller than the sum of its proper divisors (340382601792560).

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

218151643299280 is a wasteful number, since it uses less digits than its factorization.

218151643299280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54877197 (or 54877191 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 61.

The spelling of 218151643299280 in words is "two hundred eighteen trillion, one hundred fifty-one billion, six hundred forty-three million, two hundred ninety-nine thousand, two hundred eighty".