224132944560 has 320 divisors, whose sum is σ = 799028001792. Its totient is φ = 50911838208.

The previous prime is 224132944549. The next prime is 224132944577. The reversal of 224132944560 is 65449231422.

224132944560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 271018867 + ... + 271019693.

Almost surely, 2^224132944560 is an apocalyptic number.

224132944560 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 224132944560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399514000896).

224132944560 is an abundant number, since it is smaller than the sum of its proper divisors (574895057232).

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

224132944560 is a wasteful number, since it uses less digits than its factorization.

224132944560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 224132944560 in words is "two hundred twenty-four billion, one hundred thirty-two million, nine hundred forty-four thousand, five hundred sixty".