81489035916288 has 2640 divisors, whose sum is σ = 334506849614784. Its totient is φ = 19503969730560.

The previous prime is 81489035916227. The next prime is 81489035916289. The reversal of 81489035916288 is 88261953098418.

81489035916288 is a `hidden beast` number, since 8 + 1 + 4 + 8 + 9 + 0 + 3 + 591 + 6 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81489035916289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 141228831456 + ... + 141228832032.

Almost surely, 2^{81489035916288} is an apocalyptic number.

81489035916288 is a gapful number since it is divisible by the number (88) 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 81489035916288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167253424807392).

81489035916288 is an abundant number, since it is smaller than the sum of its proper divisors (253017813698496).

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

81489035916288 is an equidigital number, since it uses as much as digits as its factorization.

81489035916288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 81489035916288 in words is "eighty-one trillion, four hundred eighty-nine billion, thirty-five million, nine hundred sixteen thousand, two hundred eighty-eight".