224099842560 has 320 divisors, whose sum is σ = 827526927744. Its totient is φ = 51131187200.

The previous prime is 224099842559. The next prime is 224099842639. The reversal of 224099842560 is 65248990422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358140 + ... + 1514180.

Almost surely, 2^224099842560 is an apocalyptic number.

224099842560 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 224099842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413763463872).

224099842560 is an abundant number, since it is smaller than the sum of its proper divisors (603427085184).

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

224099842560 is a wasteful number, since it uses less digits than its factorization.

224099842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156095 (or 156079 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 224099842560 in words is "two hundred twenty-four billion, ninety-nine million, eight hundred forty-two thousand, five hundred sixty".