81322932096 has 768 divisors, whose sum is σ = 297689333760. Its totient is φ = 21570748416.

The previous prime is 81322932091. The next prime is 81322932127. The reversal of 81322932096 is 69023922318.

It is a happy number.

81322932096 is a `hidden beast` number, since 8 + 13 + 229 + 320 + 96 = 666.

It is a super-2 number, since 2×81322932096² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81322932091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470074666 + ... + 470074838.

It is an arithmetic number, because the mean of its divisors is an integer number (387616320).

Almost surely, 2^81322932096 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 81322932096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148844666880).

81322932096 is an abundant number, since it is smaller than the sum of its proper divisors (216366401664).

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

81322932096 is a wasteful number, since it uses less digits than its factorization.

81322932096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 81322932096 in words is "eighty-one billion, three hundred twenty-two million, nine hundred thirty-two thousand, ninety-six".