225176104445160 has 256 divisors, whose sum is σ = 756885217386240. Its totient is φ = 53110830366720.

The previous prime is 225176104445153. The next prime is 225176104445167. The reversal of 225176104445160 is 61544401671522.

It is a happy number.

It is a Cunningham number, because it is equal to 15005869²-1.

It is an interprime number because it is at equal distance from previous prime (225176104445153) and next prime (225176104445167).

It is a super-2 number, since 2×225176104445160² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225176104445167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1650577272 + ... + 1650713688.

It is an arithmetic number, because the mean of its divisors is an integer number (2956582880415).

Almost surely, 2^{225176104445160} is an apocalyptic number.

225176104445160 is a gapful number since it is divisible by the number (20) 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 225176104445160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378442608693120).

225176104445160 is an abundant number, since it is smaller than the sum of its proper divisors (531709112941080).

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

225176104445160 is a wasteful number, since it uses less digits than its factorization.

225176104445160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170276 (or 170272 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 225176104445160 in words is "two hundred twenty-five trillion, one hundred seventy-six billion, one hundred four million, four hundred forty-five thousand, one hundred sixty".