225946036800 has 252 divisors, whose sum is σ = 876072137616. Its totient is φ = 54774758400.

The previous prime is 225946036783. The next prime is 225946036843. The reversal of 225946036800 is 8630649522.

225946036800 is a `hidden beast` number, since 22 + 594 + 6 + 0 + 36 + 8 + 0 + 0 = 666.

225946036800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225946036800² (a number of 24 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554814 + ... + 871613.

Almost surely, 2^225946036800 is an apocalyptic number.

225946036800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225946036800 is an abundant number, since it is smaller than the sum of its proper divisors (650126100816).

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

225946036800 is a wasteful number, since it uses less digits than its factorization.

225946036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426466 (or 1426448 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 225946036800 in words is "two hundred twenty-five billion, nine hundred forty-six million, thirty-six thousand, eight hundred".