225126061314 has 256 divisors, whose sum is σ = 583070552064. Its totient is φ = 56260915200.

The previous prime is 225126061219. The next prime is 225126061327. The reversal of 225126061314 is 413160621522.

It is a super-4 number, since 4×225126061314⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 492616974 + ... + 492617430.

It is an arithmetic number, because the mean of its divisors is an integer number (2277619344).

Almost surely, 2^225126061314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225126061314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291535276032).

225126061314 is an abundant number, since it is smaller than the sum of its proper divisors (357944490750).

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

225126061314 is a wasteful number, since it uses less digits than its factorization.

225126061314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 225126061314 its reverse (413160621522), we get a palindrome (638286682836).

The spelling of 225126061314 in words is "two hundred twenty-five billion, one hundred twenty-six million, sixty-one thousand, three hundred fourteen".