225942056640 has 448 divisors, whose sum is σ = 858582097920. Its totient is φ = 55770992640.

The previous prime is 225942056633. The next prime is 225942056657. The reversal of 225942056640 is 46650249522.

225942056640 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 42 + 0 + 566 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6141982 + ... + 6178658.

Almost surely, 2^225942056640 is an apocalyptic number.

225942056640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225942056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429291048960).

225942056640 is an abundant number, since it is smaller than the sum of its proper divisors (632640041280).

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

225942056640 is a wasteful number, since it uses less digits than its factorization.

225942056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36757 (or 36741 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 225942056640 in words is "two hundred twenty-five billion, nine hundred forty-two million, fifty-six thousand, six hundred forty".