81404144160 has 192 divisors, whose sum is σ = 270377896320. Its totient is φ = 20530298880.

The previous prime is 81404144153. The next prime is 81404144167. The reversal of 81404144160 is 6144140418.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (81404144153) and next prime (81404144167).

It is not an unprimeable number, because it can be changed into a prime (81404144167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5583280 + ... + 5597840.

It is an arithmetic number, because the mean of its divisors is an integer number (1408218210).

Almost surely, 2^81404144160 is an apocalyptic number.

81404144160 is a gapful number since it is divisible by the number (80) 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 81404144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135188948160).

81404144160 is an abundant number, since it is smaller than the sum of its proper divisors (188973752160).

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

81404144160 is a wasteful number, since it uses less digits than its factorization.

81404144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15211 (or 15203 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 81404144160 its reverse (6144140418), we get a palindrome (87548284578).

The spelling of 81404144160 in words is "eighty-one billion, four hundred four million, one hundred forty-four thousand, one hundred sixty".