224115051264 has 288 divisors, whose sum is σ = 666898169280. Its totient is φ = 66341044224.

The previous prime is 224115051229. The next prime is 224115051299. The reversal of 224115051264 is 462150511422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224115051229) and next prime (224115051299).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90623532 + ... + 90626004.

Almost surely, 2^224115051264 is an apocalyptic number.

224115051264 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 224115051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333449084640).

224115051264 is an abundant number, since it is smaller than the sum of its proper divisors (442783118016).

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

224115051264 is a wasteful number, since it uses less digits than its factorization.

224115051264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 224115051264 its reverse (462150511422), we get a palindrome (686265562686).

The spelling of 224115051264 in words is "two hundred twenty-four billion, one hundred fifteen million, fifty-one thousand, two hundred sixty-four".