82231345800 has 252 divisors, whose sum is σ = 287032888485. Its totient is φ = 21899160000.

The previous prime is 82231345793. The next prime is 82231345919. The reversal of 82231345800 is 854313228.

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.

82231345800 is a `hidden beast` number, since 8 + 2 + 231 + 345 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80586718884 + 1644626916 = 283878^2 + 40554^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202770.

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 109495425 + ... + 109496175.

Almost surely, 2^82231345800 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 82231345800

82231345800 is an abundant number, since it is smaller than the sum of its proper divisors (204801542685).

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

82231345800 is an frugal number, since it uses more digits than its factorization.

82231345800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 82231345800 in words is "eighty-two billion, two hundred thirty-one million, three hundred forty-five thousand, eight hundred".