218225153760 has 96 divisors (see below), whose sum is σ = 695691400320. Its totient is φ = 57492238848.

The previous prime is 218225153737. The next prime is 218225153791. The reversal of 218225153760 is 67351522812.

218225153760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2698930 + ... + 2778609.

It is an arithmetic number, because the mean of its divisors is an integer number (7246785420).

Almost surely, 2^218225153760 is an apocalyptic number.

218225153760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218225153760 is an abundant number, since it is smaller than the sum of its proper divisors (477466246560).

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

218225153760 is a wasteful number, since it uses less digits than its factorization.

218225153760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5477640 (or 5477632 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 218225153760 in words is "two hundred eighteen billion, two hundred twenty-five million, one hundred fifty-three thousand, seven hundred sixty".