218822872401 has 24 divisors (see below), whose sum is σ = 361985594880. Its totient is φ = 124780576896.

The previous prime is 218822872369. The next prime is 218822872403. The reversal of 218822872401 is 104278228812.

218822872401 is a `hidden beast` number, since 2 + 18 + 8 + 228 + 7 + 2 + 401 = 666.

218822872401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 218822872401 - 2⁵ = 218822872369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (218822872403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3595480 + ... + 3655833.

It is an arithmetic number, because the mean of its divisors is an integer number (15082733120).

Almost surely, 2^218822872401 is an apocalyptic number.

218822872401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

218822872401 is a deficient number, since it is larger than the sum of its proper divisors (143162722479).

218822872401 is a wasteful number, since it uses less digits than its factorization.

218822872401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251805 (or 7251802 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 218822872401 in words is "two hundred eighteen billion, eight hundred twenty-two million, eight hundred seventy-two thousand, four hundred one".