218432283551020 has 48 divisors (see below), whose sum is σ = 571895433301248. Its totient is φ = 68082789677760.

The previous prime is 218432283551003. The next prime is 218432283551029. The reversal of 218432283551020 is 20155382234812.

It is a happy number.

218432283551020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (218432283551029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70919571042 + ... + 70919574121.

It is an arithmetic number, because the mean of its divisors is an integer number (11914488193776).

Almost surely, 2^{218432283551020} is an apocalyptic number.

218432283551020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218432283551020 is an abundant number, since it is smaller than the sum of its proper divisors (353463149750228).

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

218432283551020 is a wasteful number, since it uses less digits than its factorization.

218432283551020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141839145190 (or 141839145188 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 218432283551020 in words is "two hundred eighteen trillion, four hundred thirty-two billion, two hundred eighty-three million, five hundred fifty-one thousand, twenty".