224017420198464 has 392 divisors, whose sum is σ = 714635807362560. Its totient is φ = 69390335619072.

The previous prime is 224017420198433. The next prime is 224017420198553. The reversal of 224017420198464 is 464891024710422.

224017420198464 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 1 + 74 + 20 + 1 + 98 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 224017420198464.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 60871417 + ... + 64446599.

Almost surely, 2^{224017420198464} is an apocalyptic number.

224017420198464 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 224017420198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357317903681280).

224017420198464 is an abundant number, since it is smaller than the sum of its proper divisors (490618387164096).

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

224017420198464 is an equidigital number, since it uses as much as digits as its factorization.

224017420198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575309 (or 3575284 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 224017420198464 in words is "two hundred twenty-four trillion, seventeen billion, four hundred twenty million, one hundred ninety-eight thousand, four hundred sixty-four".