225434028441600 has 3840 divisors, whose sum is σ = 967365754629120. Its totient is φ = 51597803520000.

The previous prime is 225434028441577. The next prime is 225434028441613. The reversal of 225434028441600 is 6144820434522.

225434028441600 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 3 + 402 + 84 + 4 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×225434028441600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5498390937580 + ... + 5498390937620.

It is an arithmetic number, because the mean of its divisors is an integer number (251918165268).

Almost surely, 2^{225434028441600} is an apocalyptic number.

225434028441600 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 225434028441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483682877314560).

225434028441600 is an abundant number, since it is smaller than the sum of its proper divisors (741931726187520).

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

225434028441600 is an frugal number, since it uses more digits than its factorization.

225434028441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 225434028441600 in words is "two hundred twenty-five trillion, four hundred thirty-four billion, twenty-eight million, four hundred forty-one thousand, six hundred".