81478680192 has 960 divisors, whose sum is σ = 309748408200. Its totient is φ = 21194514432.

The previous prime is 81478680187. The next prime is 81478680281. The reversal of 81478680192 is 29108687418.

81478680192 is a `hidden beast` number, since 8 + 1 + 478 + 6 + 80 + 1 + 92 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4359168576 + 77119511616 = 66024^2 + 277704^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1116146268 + ... + 1116146340.

Almost surely, 2^81478680192 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 81478680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154874204100).

81478680192 is an abundant number, since it is smaller than the sum of its proper divisors (228269728008).

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

81478680192 is an equidigital number, since it uses as much as digits as its factorization.

81478680192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 81478680192 in words is "eighty-one billion, four hundred seventy-eight million, six hundred eighty thousand, one hundred ninety-two".