225337349945664 has 1344 divisors, whose sum is σ = 769335399705600. Its totient is φ = 62324055244800.

The previous prime is 225337349945641. The next prime is 225337349945677. The reversal of 225337349945664 is 466549943733522.

225337349945664 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 3 + 73 + 49 + 9 + 456 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 225337349945592 and 225337349945601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139183044247 + ... + 139183045865.

It is an arithmetic number, because the mean of its divisors is an integer number (572422172400).

Almost surely, 2^{225337349945664} is an apocalyptic number.

225337349945664 is a gapful number since it is divisible by the number (24) 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 225337349945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384667699852800).

225337349945664 is an abundant number, since it is smaller than the sum of its proper divisors (543998049759936).

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

225337349945664 is a wasteful number, since it uses less digits than its factorization.

225337349945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2031 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 72.

The spelling of 225337349945664 in words is "two hundred twenty-five trillion, three hundred thirty-seven billion, three hundred forty-nine million, nine hundred forty-five thousand, six hundred sixty-four".