225801494396160 has 288 divisors, whose sum is σ = 733050118956288. Its totient is φ = 59220609269760.

The previous prime is 225801494396129. The next prime is 225801494396173. The reversal of 225801494396160 is 61693494108522.

225801494396160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 225801494396094 and 225801494396103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2603065749 + ... + 2603152491.

Almost surely, 2^{225801494396160} is an apocalyptic number.

225801494396160 is a gapful number since it is divisible by the number (20) 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 225801494396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366525059478144).

225801494396160 is an abundant number, since it is smaller than the sum of its proper divisors (507248624560128).

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

225801494396160 is a wasteful number, since it uses less digits than its factorization.

225801494396160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97941 (or 97927 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 225801494396160 in words is "two hundred twenty-five trillion, eight hundred one billion, four hundred ninety-four million, three hundred ninety-six thousand, one hundred sixty".