225193774608 has 240 divisors, whose sum is σ = 745724895552. Its totient is φ = 62659584000.

The previous prime is 225193774601. The next prime is 225193774609. The reversal of 225193774608 is 806477391522.

It is a happy number.

225193774608 is a `hidden beast` number, since 2 + 25 + 1 + 9 + 3 + 7 + 7 + 4 + 608 = 666.

It is a super-2 number, since 2×225193774608² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225193774601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002063 + ... + 1206033.

It is a 2-persistent number, because it is pandigital, and so is 2⋅225193774608 = 450387549216, but 3⋅225193774608 = 675581323824 is not.

Almost surely, 2^225193774608 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 225193774608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372862447776).

225193774608 is an abundant number, since it is smaller than the sum of its proper divisors (520531120944).

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

225193774608 is a wasteful number, since it uses less digits than its factorization.

225193774608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204054 (or 204045 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 225193774608 in words is "two hundred twenty-five billion, one hundred ninety-three million, seven hundred seventy-four thousand, six hundred eight".