225571802480640 has 3072 divisors, whose sum is σ = 1059654268108800. Its totient is φ = 42959949004800.

The previous prime is 225571802480603. The next prime is 225571802480641. The reversal of 225571802480640 is 46084208175522.

225571802480640 is a `hidden beast` number, since 2 + 2 + 5 + 571 + 8 + 0 + 2 + 4 + 8 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is not an unprimeable number, because it can be changed into a prime (225571802480641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66875717994 + ... + 66875721366.

It is an arithmetic number, because the mean of its divisors is an integer number (344939540400).

Almost surely, 2^{225571802480640} is an apocalyptic number.

225571802480640 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 225571802480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529827134054400).

225571802480640 is an abundant number, since it is smaller than the sum of its proper divisors (834082465628160).

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

225571802480640 is a wasteful number, since it uses less digits than its factorization.

225571802480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 225571802480640 in words is "two hundred twenty-five trillion, five hundred seventy-one billion, eight hundred two million, four hundred eighty thousand, six hundred forty".