225646080000 has 520 divisors, whose sum is σ = 820475563776. Its totient is φ = 54681600000.

The previous prime is 225646079941. The next prime is 225646080031. The reversal of 225646080000 is 80646522.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84478665 + ... + 84481335.

Almost surely, 2^225646080000 is an apocalyptic number.

225646080000 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 225646080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410237781888).

225646080000 is an abundant number, since it is smaller than the sum of its proper divisors (594829483776).

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

225646080000 is an equidigital number, since it uses as much as digits as its factorization.

225646080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 225646080000 in words is "two hundred twenty-five billion, six hundred forty-six million, eighty thousand".