225941148576 has 240 divisors, whose sum is σ = 780656915808. Its totient is φ = 63200217600.

The previous prime is 225941148553. The next prime is 225941148703. The reversal of 225941148576 is 675841149522.

225941148576 is a `hidden beast` number, since 2 + 2 + 5 + 94 + 1 + 1 + 485 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 65871 + ... + 675441.

Almost surely, 2^225941148576 is an apocalyptic number.

225941148576 is a gapful number since it is divisible by the number (26) 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 225941148576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390328457904).

225941148576 is an abundant number, since it is smaller than the sum of its proper divisors (554715767232).

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

225941148576 is a wasteful number, since it uses less digits than its factorization.

225941148576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609617 (or 609600 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 225941148576 in words is "two hundred twenty-five billion, nine hundred forty-one million, one hundred forty-eight thousand, five hundred seventy-six".