2818321744896 has 792 divisors, whose sum is σ = 9862760419200. Its totient is φ = 804576374784.

The previous prime is 2818321744841. The next prime is 2818321744933. The reversal of 2818321744896 is 6984471238182.

It is a happy number.

2818321744896 is a `hidden beast` number, since 2 + 8 + 1 + 83 + 2 + 1 + 74 + 489 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2304432541 + ... + 2304433763.

Almost surely, 2^{2818321744896} 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 2818321744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931380209600).

2818321744896 is an abundant number, since it is smaller than the sum of its proper divisors (7044438674304).

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

2818321744896 is an frugal number, since it uses more digits than its factorization.

2818321744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1235 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 2818321744896 in words is "two trillion, eight hundred eighteen billion, three hundred twenty-one million, seven hundred forty-four thousand, eight hundred ninety-six".