8821681311744 has 260 divisors, whose sum is σ = 30117627343584. Its totient is φ = 2520479711232.

The previous prime is 8821681311731. The next prime is 8821681311761. The reversal of 8821681311744 is 4471131861288.

It is a happy number.

It is a super-2 number, since 2×8821681311744² (a number of 27 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 423199 + ... + 4221665.

Almost surely, 2^{8821681311744} is an apocalyptic number.

8821681311744 is a gapful number since it is divisible by the number (84) 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 8821681311744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058813671792).

8821681311744 is an abundant number, since it is smaller than the sum of its proper divisors (21295946031840).

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

8821681311744 is an equidigital number, since it uses as much as digits as its factorization.

8821681311744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798510 (or 3798479 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

It can be divided in two parts, 882168 and 1311744, that added together give a palindrome (2193912).

The spelling of 8821681311744 in words is "eight trillion, eight hundred twenty-one billion, six hundred eighty-one million, three hundred eleven thousand, seven hundred forty-four".