224601362561200 has 120 divisors (see below), whose sum is σ = 541549325852496. Its totient is φ = 89516818944000.

The previous prime is 224601362561183. The next prime is 224601362561201. The reversal of 224601362561200 is 2165263106422.

It is a happy number.

It is a super-2 number, since 2×224601362561200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (224601362561201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4815305079 + ... + 4815351721.

Almost surely, 2^{224601362561200} is an apocalyptic number.

224601362561200 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 224601362561200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270774662926248).

224601362561200 is an abundant number, since it is smaller than the sum of its proper divisors (316947963291296).

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

224601362561200 is a wasteful number, since it uses less digits than its factorization.

224601362561200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89783 (or 89772 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 224601362561200 in words is "two hundred twenty-four trillion, six hundred one billion, three hundred sixty-two million, five hundred sixty-one thousand, two hundred".