225346961681040 has 160 divisors (see below), whose sum is σ = 713205877723776. Its totient is φ = 58838621470720.

The previous prime is 225346961681011. The next prime is 225346961681071. The reversal of 225346961681040 is 40186169643522.

It is a happy number.

225346961681040 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 2×225346961681040² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11795169 + ... + 24286208.

Almost surely, 2^{225346961681040} is an apocalyptic number.

225346961681040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225346961681040 is an abundant number, since it is smaller than the sum of its proper divisors (487858916042736).

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

225346961681040 is a wasteful number, since it uses less digits than its factorization.

225346961681040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36081937 (or 36081931 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 225346961681040 in words is "two hundred twenty-five trillion, three hundred forty-six billion, nine hundred sixty-one million, six hundred eighty-one thousand, forty".