225353076480 has 1152 divisors, whose sum is σ = 954433536000. Its totient is φ = 49268736000.

The previous prime is 225353076433. The next prime is 225353076499. The reversal of 225353076480 is 84670353522.

225353076480 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 530 + 76 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 1132427421 + ... + 1132427619.

Almost surely, 2^225353076480 is an apocalyptic number.

225353076480 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 225353076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477216768000).

225353076480 is an abundant number, since it is smaller than the sum of its proper divisors (729080459520).

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

225353076480 is a wasteful number, since it uses less digits than its factorization.

225353076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 225353076480 in words is "two hundred twenty-five billion, three hundred fifty-three million, seventy-six thousand, four hundred eighty".