224195936256 has 384 divisors, whose sum is σ = 677201990400. Its totient is φ = 71392296960.

The previous prime is 224195936243. The next prime is 224195936303. The reversal of 224195936256 is 652639591422.

224195936256 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 9 + 5 + 9 + 3 + 625 + 6 = 666.

224195936256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252491175 + ... + 1252491353.

It is an arithmetic number, because the mean of its divisors is an integer number (1763546850).

Almost surely, 2^224195936256 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 224195936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338600995200).

224195936256 is an abundant number, since it is smaller than the sum of its proper divisors (453006054144).

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

224195936256 is a wasteful number, since it uses less digits than its factorization.

224195936256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 352 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 224195936256 in words is "two hundred twenty-four billion, one hundred ninety-five million, nine hundred thirty-six thousand, two hundred fifty-six".