81242144600 has 96 divisors (see below), whose sum is σ = 193735985520. Its totient is φ = 31666360320.

The previous prime is 81242144597. The next prime is 81242144647. The reversal of 81242144600 is 644124218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3712892 + ... + 3734708.

Almost surely, 2^81242144600 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 81242144600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96867992760).

81242144600 is an abundant number, since it is smaller than the sum of its proper divisors (112493840920).

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

81242144600 is a wasteful number, since it uses less digits than its factorization.

81242144600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22309 (or 22300 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 81242144600 its reverse (644124218), we get a palindrome (81886268818).

The spelling of 81242144600 in words is "eighty-one billion, two hundred forty-two million, one hundred forty-four thousand, six hundred".