225631262142 has 192 divisors, whose sum is σ = 581738976000. Its totient is φ = 62303385600.

The previous prime is 225631262137. The next prime is 225631262147. The reversal of 225631262142 is 241262136522.

225631262142 is a `hidden beast` number, since 2 + 2 + 5 + 631 + 2 + 6 + 2 + 14 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (225631262137) and next prime (225631262147).

It is a junction number, because it is equal to n+sod(n) for n = 225631262097 and 225631262106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225631262147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124588417 + ... + 124590227.

It is an arithmetic number, because the mean of its divisors is an integer number (3029890500).

Almost surely, 2^225631262142 is an apocalyptic number.

225631262142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225631262142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290869488000).

225631262142 is an abundant number, since it is smaller than the sum of its proper divisors (356107713858).

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

225631262142 is a wasteful number, since it uses less digits than its factorization.

225631262142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2436 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 225631262142 its reverse (241262136522), we get a palindrome (466893398664).

The spelling of 225631262142 in words is "two hundred twenty-five billion, six hundred thirty-one million, two hundred sixty-two thousand, one hundred forty-two".