2322285438816 has 288 divisors, whose sum is σ = 8062425866880. Its totient is φ = 648079149312.

The previous prime is 2322285438793. The next prime is 2322285438839. The reversal of 2322285438816 is 6188345822232.

2322285438816 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 2 + 8 + 543 + 88 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2322285438793) and next prime (2322285438839).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1182615 + ... + 2458281.

It is an arithmetic number, because the mean of its divisors is an integer number (27994534260).

Almost surely, 2^{2322285438816} 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 2322285438816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031212933440).

2322285438816 is an abundant number, since it is smaller than the sum of its proper divisors (5740140428064).

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

2322285438816 is a wasteful number, since it uses less digits than its factorization.

2322285438816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275743 (or 1275722 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 2322285438816 in words is "two trillion, three hundred twenty-two billion, two hundred eighty-five million, four hundred thirty-eight thousand, eight hundred sixteen".