224450052316100 has 144 divisors (see below), whose sum is σ = 524854373920128. Its totient is φ = 82821449410560.

The previous prime is 224450052316099. The next prime is 224450052316117. The reversal of 224450052316100 is 1613250054422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21861303167 + ... + 21861313433.

It is an arithmetic number, because the mean of its divisors is an integer number (3644822041112).

Almost surely, 2^{224450052316100} is an apocalyptic number.

224450052316100 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 224450052316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262427186960064).

224450052316100 is an abundant number, since it is smaller than the sum of its proper divisors (300404321604028).

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

224450052316100 is a wasteful number, since it uses less digits than its factorization.

224450052316100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19294 (or 19287 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 224450052316100 in words is "two hundred twenty-four trillion, four hundred fifty billion, fifty-two million, three hundred sixteen thousand, one hundred".