224118138953808 has 400 divisors, whose sum is σ = 709799190122880. Its totient is φ = 67706807731200.

The previous prime is 224118138953771. The next prime is 224118138953831. The reversal of 224118138953808 is 808359831811422.

224118138953808 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 1 + 8 + 13 + 89 + 538 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11539979938 + ... + 11539999358.

Almost surely, 2^{224118138953808} 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 224118138953808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354899595061440).

224118138953808 is an abundant number, since it is smaller than the sum of its proper divisors (485681051169072).

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

224118138953808 is a wasteful number, since it uses less digits than its factorization.

224118138953808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21888 (or 21873 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 224118138953808 in words is "two hundred twenty-four trillion, one hundred eighteen billion, one hundred thirty-eight million, nine hundred fifty-three thousand, eight hundred eight".