224606121656 has 128 divisors (see below), whose sum is σ = 522733824000. Its totient is φ = 88338511872.

The previous prime is 224606121647. The next prime is 224606121661. The reversal of 224606121656 is 656121606422.

224606121656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4429760 + ... + 4480176.

It is an arithmetic number, because the mean of its divisors is an integer number (4083858000).

Almost surely, 2^224606121656 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 224606121656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261366912000).

224606121656 is an abundant number, since it is smaller than the sum of its proper divisors (298127702344).

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

224606121656 is a wasteful number, since it uses less digits than its factorization.

224606121656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50581 (or 50577 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 224606121656 in words is "two hundred twenty-four billion, six hundred six million, one hundred twenty-one thousand, six hundred fifty-six".