81141328632 has 128 divisors (see below), whose sum is σ = 249749660160. Its totient is φ = 21392709120.

The previous prime is 81141328601. The next prime is 81141328657. The reversal of 81141328632 is 23682314118.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10612603 + ... + 10620245.

It is an arithmetic number, because the mean of its divisors is an integer number (1951169220).

Almost surely, 2^81141328632 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 81141328632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124874830080).

81141328632 is an abundant number, since it is smaller than the sum of its proper divisors (168608331528).

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

81141328632 is a wasteful number, since it uses less digits than its factorization.

81141328632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12529 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 81141328632 in words is "eighty-one billion, one hundred forty-one million, three hundred twenty-eight thousand, six hundred thirty-two".