224006681760 has 48 divisors (see below), whose sum is σ = 705621049056. Its totient is φ = 59735115008.

The previous prime is 224006681753. The next prime is 224006681779. The reversal of 224006681760 is 67186600422.

224006681760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233339814 + ... + 233340773.

It is an arithmetic number, because the mean of its divisors is an integer number (14700438522).

Almost surely, 2^224006681760 is an apocalyptic number.

224006681760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224006681760 is an abundant number, since it is smaller than the sum of its proper divisors (481614367296).

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

224006681760 is a wasteful number, since it uses less digits than its factorization.

224006681760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466680605 (or 466680597 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 224006681760 in words is "two hundred twenty-four billion, six million, six hundred eighty-one thousand, seven hundred sixty".