224897770944 has 896 divisors, whose sum is σ = 848426649600. Its totient is φ = 57206476800.

The previous prime is 224897770939. The next prime is 224897770949. The reversal of 224897770944 is 449077798422.

224897770944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224897770939) and next prime (224897770949).

It is a super-2 number, since 2×224897770944² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224897770949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 982086222 + ... + 982086450.

Almost surely, 2^224897770944 is an apocalyptic number.

224897770944 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 224897770944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424213324800).

224897770944 is an abundant number, since it is smaller than the sum of its proper divisors (623528878656).

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

224897770944 is a wasteful number, since it uses less digits than its factorization.

224897770944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 224897770944 in words is "two hundred twenty-four billion, eight hundred ninety-seven million, seven hundred seventy thousand, nine hundred forty-four".