82794351643146 has 144 divisors (see below), whose sum is σ = 212354518314120. Its totient is φ = 23158313164800.

The previous prime is 82794351643111. The next prime is 82794351643147. The reversal of 82794351643146 is 64134615349728.

82794351643146 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 43 + 516 + 4 + 31 + 46 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82455680021121 + 338671622025 = 9080511^2 + 581955^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82794351643147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 973081326 + ... + 973166406.

Almost surely, 2^{82794351643146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82794351643146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106177259157060).

82794351643146 is an abundant number, since it is smaller than the sum of its proper divisors (129560166670974).

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

82794351643146 is a wasteful number, since it uses less digits than its factorization.

82794351643146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119493 (or 119479 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 82794351643146 in words is "eighty-two trillion, seven hundred ninety-four billion, three hundred fifty-one million, six hundred forty-three thousand, one hundred forty-six".