81532324224 has 768 divisors, whose sum is σ = 287704872000. Its totient is φ = 22741254144.

The previous prime is 81532324201. The next prime is 81532324277. The reversal of 81532324224 is 42242323518.

81532324224 is a `hidden beast` number, since 81 + 5 + 32 + 324 + 224 = 666.

It is a super-3 number, since 3×81532324224³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199345332 + ... + 199345740.

Almost surely, 2^81532324224 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 81532324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143852436000).

81532324224 is an abundant number, since it is smaller than the sum of its proper divisors (206172547776).

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

81532324224 is a wasteful number, since it uses less digits than its factorization.

81532324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 81532324224 in words is "eighty-one billion, five hundred thirty-two million, three hundred twenty-four thousand, two hundred twenty-four".