81148179168 has 288 divisors, whose sum is σ = 279961194240. Its totient is φ = 21765427200.

The previous prime is 81148179163. The next prime is 81148179173. The reversal of 81148179168 is 86197184118.

81148179168 is a `hidden beast` number, since 8 + 11 + 481 + 7 + 91 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (81148179163) and next prime (81148179173).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81148179163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14357143 + ... + 14362793.

It is an arithmetic number, because the mean of its divisors is an integer number (972087480).

Almost surely, 2^81148179168 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 81148179168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139980597120).

81148179168 is an abundant number, since it is smaller than the sum of its proper divisors (198813015072).

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

81148179168 is a wasteful number, since it uses less digits than its factorization.

81148179168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6099 counting only the distinct ones).

The product of its digits is 774144, while the sum is 54.

The spelling of 81148179168 in words is "eighty-one billion, one hundred forty-eight million, one hundred seventy-nine thousand, one hundred sixty-eight".