81348598800 has 1440 divisors, whose sum is σ = 362676787200. Its totient is φ = 16459407360.

The previous prime is 81348598789. The next prime is 81348598801. The reversal of 81348598800 is 889584318.

81348598800 is a `hidden beast` number, since 8 + 1 + 3 + 48 + 598 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×81348598800² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81348598801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 914029156 + ... + 914029244.

It is an arithmetic number, because the mean of its divisors is an integer number (251858880).

Almost surely, 2^81348598800 is an apocalyptic number.

81348598800 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 81348598800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181338393600).

81348598800 is an abundant number, since it is smaller than the sum of its proper divisors (281328188400).

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

81348598800 is a wasteful number, since it uses less digits than its factorization.

81348598800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 81348598800 in words is "eighty-one billion, three hundred forty-eight million, five hundred ninety-eight thousand, eight hundred".