224256435408 has 200 divisors, whose sum is σ = 692663380992. Its totient is φ = 69800113152.

The previous prime is 224256435401. The next prime is 224256435409. The reversal of 224256435408 is 804534652422.

It is a happy number.

224256435408 is a `hidden beast` number, since 2 + 2 + 42 + 5 + 64 + 3 + 540 + 8 = 666.

It is a super-2 number, since 2×224256435408² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224256435401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2757991 + ... + 2838137.

Almost surely, 2^224256435408 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 224256435408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346331690496).

224256435408 is an abundant number, since it is smaller than the sum of its proper divisors (468406945584).

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

224256435408 is a wasteful number, since it uses less digits than its factorization.

224256435408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80311 (or 80296 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 224256435408 in words is "two hundred twenty-four billion, two hundred fifty-six million, four hundred thirty-five thousand, four hundred eight".