225666513640 has 64 divisors (see below), whose sum is σ = 518787504000. Its totient is φ = 88322412288.

The previous prime is 225666513637. The next prime is 225666513641. The reversal of 225666513640 is 46315666522.

225666513640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225666513641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116757 + ... + 681883.

It is an arithmetic number, because the mean of its divisors is an integer number (8106054750).

Almost surely, 2^225666513640 is an apocalyptic number.

225666513640 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 225666513640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259393752000).

225666513640 is an abundant number, since it is smaller than the sum of its proper divisors (293120990360).

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

225666513640 is a wasteful number, since it uses less digits than its factorization.

225666513640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565354 (or 565350 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 225666513640 in words is "two hundred twenty-five billion, six hundred sixty-six million, five hundred thirteen thousand, six hundred forty".