225937833984 has 180 divisors, whose sum is σ = 655637524360. Its totient is φ = 74972528640.

The previous prime is 225937833971. The next prime is 225937834043. The reversal of 225937833984 is 489338739522.

225937833984 is a `hidden beast` number, since 2 + 2 + 593 + 7 + 8 + 3 + 39 + 8 + 4 = 666.

225937833984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33764079 + ... + 33770769.

Almost surely, 2^225937833984 is an apocalyptic number.

225937833984 is a gapful number since it is divisible by the number (24) 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 225937833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327818762180).

225937833984 is an abundant number, since it is smaller than the sum of its proper divisors (429699690376).

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

225937833984 is an equidigital number, since it uses as much as digits as its factorization.

225937833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6925 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 225937833984 in words is "two hundred twenty-five billion, nine hundred thirty-seven million, eight hundred thirty-three thousand, nine hundred eighty-four".