224531120640 has 80 divisors (see below), whose sum is σ = 717797950848. Its totient is φ = 59874963456.

The previous prime is 224531120629. The next prime is 224531120659. The reversal of 224531120640 is 46021135422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224531120598 and 224531120607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14610232 + ... + 14625591.

Almost surely, 2^224531120640 is an apocalyptic number.

224531120640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224531120640 is an abundant number, since it is smaller than the sum of its proper divisors (493266830208).

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

224531120640 is an equidigital number, since it uses as much as digits as its factorization.

224531120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29235849 (or 29235833 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 224531120640 in words is "two hundred twenty-four billion, five hundred thirty-one million, one hundred twenty thousand, six hundred forty".