81322000032 has 192 divisors, whose sum is σ = 263786471424. Its totient is φ = 21361536000.

The previous prime is 81322000031. The next prime is 81322000063. The reversal of 81322000032 is 23000022318.

It is a super-2 number, since 2×81322000032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 81321999972 and 81322000008.

It is not an unprimeable number, because it can be changed into a prime (81322000031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2174193 + ... + 2211279.

It is an arithmetic number, because the mean of its divisors is an integer number (1373887872).

Almost surely, 2^81322000032 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 81322000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131893235712).

81322000032 is an abundant number, since it is smaller than the sum of its proper divisors (182464471392).

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

81322000032 is a wasteful number, since it uses less digits than its factorization.

81322000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37371 (or 37363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 81322000032 in words is "eighty-one billion, three hundred twenty-two million, thirty-two", and thus it is an aban number.