224598630045440 has 1152 divisors, whose sum is σ = 679170081816576. Its totient is φ = 69394268160000.

The previous prime is 224598630045407. The next prime is 224598630045463. The reversal of 224598630045440 is 44540036895422.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213699932915 + ... + 213699933965.

It is an arithmetic number, because the mean of its divisors is an integer number (589557362688).

Almost surely, 2^{224598630045440} is an apocalyptic number.

224598630045440 is a gapful number since it is divisible by the number (20) 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 224598630045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339585040908288).

224598630045440 is an abundant number, since it is smaller than the sum of its proper divisors (454571451771136).

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

224598630045440 is a wasteful number, since it uses less digits than its factorization.

224598630045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 56.

The spelling of 224598630045440 in words is "two hundred twenty-four trillion, five hundred ninety-eight billion, six hundred thirty million, forty-five thousand, four hundred forty".