81433497600 has 936 divisors, whose sum is σ = 359357124672. Its totient is φ = 17163878400.

The previous prime is 81433497577. The next prime is 81433497667. The reversal of 81433497600 is 679433418.

81433497600 is a `hidden beast` number, since 8 + 1 + 4 + 3 + 34 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 83865115 + ... + 83866085.

It is an arithmetic number, because the mean of its divisors is an integer number (383928552).

Almost surely, 2^81433497600 is an apocalyptic number.

81433497600 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 81433497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179678562336).

81433497600 is an abundant number, since it is smaller than the sum of its proper divisors (277923627072).

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

81433497600 is a wasteful number, since it uses less digits than its factorization.

81433497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 81433497600 in words is "eighty-one billion, four hundred thirty-three million, four hundred ninety-seven thousand, six hundred".