81632241800 has 108 divisors (see below), whose sum is σ = 192800777055. Its totient is φ = 32143781120.

The previous prime is 81632241793. The next prime is 81632241829. The reversal of 81632241800 is 814223618.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 7677614884 + 73954626916 = 87622^2 + 271946^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202030.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 359613287 + ... + 359613513.

Almost surely, 2^81632241800 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 81632241800

81632241800 is an abundant number, since it is smaller than the sum of its proper divisors (111168535255).

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

81632241800 is an equidigital number, since it uses as much as digits as its factorization.

81632241800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 81632241800 in words is "eighty-one billion, six hundred thirty-two million, two hundred forty-one thousand, eight hundred".