224045502408 has 324 divisors, whose sum is σ = 765579959235. Its totient is φ = 58992530688.

The previous prime is 224045502397. The next prime is 224045502437. The reversal of 224045502408 is 804205540422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

224045502408 is a `hidden beast` number, since 2 + 2 + 404 + 5 + 5 + 0 + 240 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 24005783844 + 200039718564 = 154938^2 + 447258^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=334698.

It is a super-3 number, since 3×224045502408³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 80 ways as a sum of consecutive naturals, for example, 365489910 + ... + 365490522.

Almost surely, 2^224045502408 is an apocalyptic number.

224045502408 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 224045502408

224045502408 is an abundant number, since it is smaller than the sum of its proper divisors (541534456827).

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

224045502408 is a wasteful number, since it uses less digits than its factorization.

224045502408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 224045502408 in words is "two hundred twenty-four billion, forty-five million, five hundred two thousand, four hundred eight".