224670298944 has 672 divisors, whose sum is σ = 786967265280. Its totient is φ = 54930161664.

The previous prime is 224670298921. The next prime is 224670298961. The reversal of 224670298944 is 449892076422.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1769057409 + ... + 1769057535.

It is an arithmetic number, because the mean of its divisors is an integer number (1171082240).

Almost surely, 2^224670298944 is an apocalyptic number.

224670298944 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 224670298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393483632640).

224670298944 is an abundant number, since it is smaller than the sum of its proper divisors (562296966336).

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

224670298944 is a wasteful number, since it uses less digits than its factorization.

224670298944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 224670298944 in words is "two hundred twenty-four billion, six hundred seventy million, two hundred ninety-eight thousand, nine hundred forty-four".