225499592812032 has 1920 divisors, whose sum is σ = 877562450265600. Its totient is φ = 57202614927360.

The previous prime is 225499592812009. The next prime is 225499592812099. The reversal of 225499592812032 is 230218295994522.

225499592812032 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 9 + 9 + 592 + 8 + 1 + 2 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25952302344 + ... + 25952311032.

It is an arithmetic number, because the mean of its divisors is an integer number (457063776180).

Almost surely, 2^{225499592812032} is an apocalyptic number.

225499592812032 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 225499592812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438781225132800).

225499592812032 is an abundant number, since it is smaller than the sum of its proper divisors (652062857453568).

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

225499592812032 is an frugal number, since it uses more digits than its factorization.

225499592812032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 225499592812032 in words is "two hundred twenty-five trillion, four hundred ninety-nine billion, five hundred ninety-two million, eight hundred twelve thousand, thirty-two".