225351497712 has 240 divisors, whose sum is σ = 661727646720. Its totient is φ = 65966208000.

The previous prime is 225351497659. The next prime is 225351497737. The reversal of 225351497712 is 217794153522.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174825964 + ... + 174827252.

It is an arithmetic number, because the mean of its divisors is an integer number (2757198528).

Almost surely, 2^225351497712 is an apocalyptic number.

225351497712 is a gapful number since it is divisible by the number (22) 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 225351497712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330863823360).

225351497712 is an abundant number, since it is smaller than the sum of its proper divisors (436376149008).

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

225351497712 is a wasteful number, since it uses less digits than its factorization.

225351497712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2307 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The spelling of 225351497712 in words is "two hundred twenty-five billion, three hundred fifty-one million, four hundred ninety-seven thousand, seven hundred twelve".