224638300944 has 160 divisors (see below), whose sum is σ = 648306362880. Its totient is φ = 74472652800.

The previous prime is 224638300937. The next prime is 224638300979. The reversal of 224638300944 is 449003836422.

224638300944 is a `hidden beast` number, since 2 + 2 + 4 + 638 + 3 + 0 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×224638300944² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224638300944.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101141754 + ... + 101143974.

It is an arithmetic number, because the mean of its divisors is an integer number (4051914768).

Almost surely, 2^224638300944 is an apocalyptic number.

224638300944 is a gapful number since it is divisible by the number (24) 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 224638300944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324153181440).

224638300944 is an abundant number, since it is smaller than the sum of its proper divisors (423668061936).

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

224638300944 is a wasteful number, since it uses less digits than its factorization.

224638300944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 224638300944 in words is "two hundred twenty-four billion, six hundred thirty-eight million, three hundred thousand, nine hundred forty-four".