225337431561000 has 2048 divisors, whose sum is σ = 880251660288000. Its totient is φ = 47266136064000.

The previous prime is 225337431560959. The next prime is 225337431561089. The reversal of 225337431561000 is 165134733522.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 293026568616 + ... + 293026569384.

It is an arithmetic number, because the mean of its divisors is an integer number (429810381000).

Almost surely, 2^{225337431561000} is an apocalyptic number.

225337431561000 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 225337431561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440125830144000).

225337431561000 is an abundant number, since it is smaller than the sum of its proper divisors (654914228727000).

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

225337431561000 is a wasteful number, since it uses less digits than its factorization.

225337431561000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 225337431561000 in words is "two hundred twenty-five trillion, three hundred thirty-seven billion, four hundred thirty-one million, five hundred sixty-one thousand".