225666906000 has 80 divisors (see below), whose sum is σ = 727550124288. Its totient is φ = 60177840000.

The previous prime is 225666905999. The next prime is 225666906029. The reversal of 225666906000 is 609666522.

225666906000 is digitally balanced in base 2, 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 (80).

It is a super-2 number, since 2×225666906000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18799576 + ... + 18811575.

Almost surely, 2^225666906000 is an apocalyptic number.

225666906000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225666906000 is an abundant number, since it is smaller than the sum of its proper divisors (501883218288).

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

225666906000 is a wasteful number, since it uses less digits than its factorization.

225666906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37611177 (or 37611161 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 225666906000 in words is "two hundred twenty-five billion, six hundred sixty-six million, nine hundred six thousand".