224045352355400 has 96 divisors (see below), whose sum is σ = 526096423823400. Its totient is φ = 88725182208000.

The previous prime is 224045352355381. The next prime is 224045352355499. The reversal of 224045352355400 is 4553253540422.

It can be written as a sum of positive squares in 12 ways, for example, as 39038728617604 + 185006623737796 = 6248098^2 + 13601714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324248684 + ... + 324938916.

Almost surely, 2^{224045352355400} is an apocalyptic number.

224045352355400 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 224045352355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263048211911700).

224045352355400 is an abundant number, since it is smaller than the sum of its proper divisors (302051071468000).

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

224045352355400 is a wasteful number, since it uses less digits than its factorization.

224045352355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706419 (or 706410 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 44.

The spelling of 224045352355400 in words is "two hundred twenty-four trillion, forty-five billion, three hundred fifty-two million, three hundred fifty-five thousand, four hundred".