81467821911168 has 1152 divisors, whose sum is σ = 315930607424640. Its totient is φ = 19914854400000.

The previous prime is 81467821911163. The next prime is 81467821911187. The reversal of 81467821911168 is 86111912876418.

81467821911168 is a `hidden beast` number, since 8 + 1 + 467 + 8 + 2 + 1 + 9 + 1 + 1 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 not an unprimeable number, because it can be changed into a prime (81467821911163) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3620619918 + ... + 3620642418.

It is an arithmetic number, because the mean of its divisors is an integer number (274245318945).

Almost surely, 2^{81467821911168} is an apocalyptic number.

81467821911168 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 81467821911168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157965303712320).

81467821911168 is an abundant number, since it is smaller than the sum of its proper divisors (234462785513472).

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

81467821911168 is a wasteful number, since it uses less digits than its factorization.

81467821911168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22584 (or 22541 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 63.

The spelling of 81467821911168 in words is "eighty-one trillion, four hundred sixty-seven billion, eight hundred twenty-one million, nine hundred eleven thousand, one hundred sixty-eight".