225575311104 has 720 divisors, whose sum is σ = 797768294400. Its totient is φ = 62496645120.

The previous prime is 225575311079. The next prime is 225575311111. The reversal of 225575311104 is 401113575522.

225575311104 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 7 + 531 + 110 + 4 = 666.

It is a super-3 number, since 3×225575311104³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 376586197 + ... + 376586795.

It is an arithmetic number, because the mean of its divisors is an integer number (1108011520).

Almost surely, 2^225575311104 is an apocalyptic number.

225575311104 is a gapful number since it is divisible by the number (24) 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 225575311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398884147200).

225575311104 is an abundant number, since it is smaller than the sum of its proper divisors (572192983296).

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

225575311104 is a wasteful number, since it uses less digits than its factorization.

225575311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

Adding to 225575311104 its reverse (401113575522), we get a palindrome (626688886626).

The spelling of 225575311104 in words is "two hundred twenty-five billion, five hundred seventy-five million, three hundred eleven thousand, one hundred four".