225668491776 has 800 divisors, whose sum is σ = 840829725120. Its totient is φ = 59403165696.

The previous prime is 225668491747. The next prime is 225668491801. The reversal of 225668491776 is 677194866522.

225668491776 is a `hidden beast` number, since 22 + 56 + 6 + 8 + 491 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 431488251 + ... + 431488773.

Almost surely, 2^225668491776 is an apocalyptic number.

225668491776 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 225668491776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420414862560).

225668491776 is an abundant number, since it is smaller than the sum of its proper divisors (615161233344).

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

225668491776 is an frugal number, since it uses more digits than its factorization.

225668491776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 548 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 225668491776 in words is "two hundred twenty-five billion, six hundred sixty-eight million, four hundred ninety-one thousand, seven hundred seventy-six".