225731159541888 has 2048 divisors, whose sum is σ = 864842788454400. Its totient is φ = 50198929735680.

The previous prime is 225731159541859. The next prime is 225731159541949. The reversal of 225731159541888 is 888145951137522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 283226046706 + ... + 283226047502.

It is an arithmetic number, because the mean of its divisors is an integer number (422286517800).

Almost surely, 2^{225731159541888} is an apocalyptic number.

225731159541888 is a gapful number since it is divisible by the number (28) 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 225731159541888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432421394227200).

225731159541888 is an abundant number, since it is smaller than the sum of its proper divisors (639111628912512).

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

225731159541888 is a wasteful number, since it uses less digits than its factorization.

225731159541888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1426 counting only the distinct ones).

The product of its digits is 193536000, while the sum is 69.

The spelling of 225731159541888 in words is "two hundred twenty-five trillion, seven hundred thirty-one billion, one hundred fifty-nine million, five hundred forty-one thousand, eight hundred eighty-eight".