225368242176 has 768 divisors, whose sum is σ = 785787125760. Its totient is φ = 56202854400.

The previous prime is 225368242153. The next prime is 225368242181. The reversal of 225368242176 is 671242863522.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×225368242176³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1774553025 + ... + 1774553151.

It is an arithmetic number, because the mean of its divisors is an integer number (1023160320).

Almost surely, 2^225368242176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225368242176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392893562880).

225368242176 is an abundant number, since it is smaller than the sum of its proper divisors (560418883584).

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

225368242176 is a wasteful number, since it uses less digits than its factorization.

225368242176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 181 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The spelling of 225368242176 in words is "two hundred twenty-five billion, three hundred sixty-eight million, two hundred forty-two thousand, one hundred seventy-six".