224083246464 has 384 divisors, whose sum is σ = 804951164160. Its totient is φ = 58129920000.

The previous prime is 224083246447. The next prime is 224083246469. The reversal of 224083246464 is 464642380422.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224083246469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128708634 + ... + 128710374.

It is an arithmetic number, because the mean of its divisors is an integer number (2096226990).

Almost surely, 2^224083246464 is an apocalyptic number.

224083246464 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 224083246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402475582080).

224083246464 is an abundant number, since it is smaller than the sum of its proper divisors (580867917696).

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

224083246464 is a wasteful number, since it uses less digits than its factorization.

224083246464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 224083246464 in words is "two hundred twenty-four billion, eighty-three million, two hundred forty-six thousand, four hundred sixty-four".