224561052335536 has 80 divisors (see below), whose sum is σ = 501693968102400. Its totient is φ = 95379017739264.

The previous prime is 224561052335527. The next prime is 224561052335561. The reversal of 224561052335536 is 635533250165422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123620695 + ... + 125424073.

It is an arithmetic number, because the mean of its divisors is an integer number (6271174601280).

Almost surely, 2^{224561052335536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224561052335536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250846984051200).

224561052335536 is an abundant number, since it is smaller than the sum of its proper divisors (277132915766864).

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

224561052335536 is a wasteful number, since it uses less digits than its factorization.

224561052335536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813346 (or 1813340 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 52.

The spelling of 224561052335536 in words is "two hundred twenty-four trillion, five hundred sixty-one billion, fifty-two million, three hundred thirty-five thousand, five hundred thirty-six".