82330113600 has 378 divisors, whose sum is σ = 340398382194. Its totient is φ = 18818150400.

The previous prime is 82330113599. The next prime is 82330113601. The reversal of 82330113600 is 631103328.

It is a happy number.

82330113600 is a `hidden beast` number, since 8 + 23 + 30 + 1 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (82330113599) and next prime (82330113601).

It can be written as a sum of positive squares in 3 ways, for example, as 25098163776 + 57231949824 = 158424^2 + 239232^2 .

It is not an unprimeable number, because it can be changed into a prime (82330113601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 647260 + ... + 763940.

Almost surely, 2^82330113600 is an apocalyptic number.

82330113600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82330113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170199191097).

82330113600 is an abundant number, since it is smaller than the sum of its proper divisors (258068268594).

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

82330113600 is a wasteful number, since it uses less digits than its factorization.

82330113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116723 (or 116698 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 82330113600 its reverse (631103328), we get a palindrome (82961216928).

The spelling of 82330113600 in words is "eighty-two billion, three hundred thirty million, one hundred thirteen thousand, six hundred".