225771767709696 has 540 divisors, whose sum is σ = 708810117775032. Its totient is φ = 69215332073472.

The previous prime is 225771767709661. The next prime is 225771767709739. The reversal of 225771767709696 is 696907767177522.

225771767709696 is a `hidden beast` number, since 2 + 257 + 71 + 7 + 67 + 70 + 96 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6902841375 + ... + 6902874081.

Almost surely, 2^{225771767709696} is an apocalyptic number.

225771767709696 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 225771767709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354405058887516).

225771767709696 is an abundant number, since it is smaller than the sum of its proper divisors (483038350065336).

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

225771767709696 is a wasteful number, since it uses less digits than its factorization.

225771767709696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33044 (or 33002 counting only the distinct ones).

The product of its (nonzero) digits is 5881105440, while the sum is 81.

The spelling of 225771767709696 in words is "two hundred twenty-five trillion, seven hundred seventy-one billion, seven hundred sixty-seven million, seven hundred nine thousand, six hundred ninety-six".