81288110101632 has 512 divisors, whose sum is σ = 252351590400000. Its totient is φ = 22706510561280.

The previous prime is 81288110101631. The next prime is 81288110101651. The reversal of 81288110101632 is 23610101188218.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (81288110101631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9186130744 + ... + 9186139592.

It is an arithmetic number, because the mean of its divisors is an integer number (492874200000).

Almost surely, 2^{81288110101632} 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 81288110101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126175795200000).

81288110101632 is an abundant number, since it is smaller than the sum of its proper divisors (171063480298368).

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

81288110101632 is a wasteful number, since it uses less digits than its factorization.

81288110101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 81288110101632 in words is "eighty-one trillion, two hundred eighty-eight billion, one hundred ten million, one hundred one thousand, six hundred thirty-two".