225491197815936 has 1536 divisors, whose sum is σ = 769942345536000. Its totient is φ = 62780194160640.

The previous prime is 225491197815887. The next prime is 225491197815937. The reversal of 225491197815936 is 639518791194522.

It is a happy number.

225491197815936 is a `hidden beast` number, since 2 + 2 + 5 + 491 + 1 + 9 + 7 + 81 + 59 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (225491197815937) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69190301475 + ... + 69190304733.

It is an arithmetic number, because the mean of its divisors is an integer number (501264547875).

Almost surely, 2^{225491197815936} is an apocalyptic number.

225491197815936 is a gapful number since it is divisible by the number (26) 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 225491197815936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384971172768000).

225491197815936 is an abundant number, since it is smaller than the sum of its proper divisors (544451147720064).

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

225491197815936 is a wasteful number, since it uses less digits than its factorization.

225491197815936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3487 counting only the distinct ones).

The product of its digits is 293932800, while the sum is 72.

The spelling of 225491197815936 in words is "two hundred twenty-five trillion, four hundred ninety-one billion, one hundred ninety-seven million, eight hundred fifteen thousand, nine hundred thirty-six".