1018322416224 has 144 divisors (see below), whose sum is σ = 2911584351312. Its totient is φ = 337601101824.

The previous prime is 1018322416219. The next prime is 1018322416327. The reversal of 1018322416224 is 4226142238101.

1018322416224 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 3 + 2 + 24 + 1 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49802547 + ... + 49822989.

It is an arithmetic number, because the mean of its divisors is an integer number (20219335773).

Almost surely, 2^{1018322416224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018322416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455792175656).

1018322416224 is an abundant number, since it is smaller than the sum of its proper divisors (1893261935088).

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

1018322416224 is a wasteful number, since it uses less digits than its factorization.

1018322416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21389 (or 21378 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1018322416224 in words is "one trillion, eighteen billion, three hundred twenty-two million, four hundred sixteen thousand, two hundred twenty-four".