82662821242641 has 12 divisors (see below), whose sum is σ = 119401935244020. Its totient is φ = 55108509492960.

The previous prime is 82662821242633. The next prime is 82662821242649. The reversal of 82662821242641 is 14624212826628.

82662821242641 is a `hidden beast` number, since 8 + 2 + 6 + 628 + 2 + 1 + 2 + 4 + 2 + 6 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (82662821242633) and next prime (82662821242649).

It can be written as a sum of positive squares in 2 ways, for example, as 64442763140625 + 18220058102016 = 8027625^2 + 4268496^2 .

It is not a de Polignac number, because 82662821242641 - 2³ = 82662821242633 is a prime.

It is a super-3 number, since 3×82662821242641³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82662821242649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18189811 + ... + 22275431.

It is an arithmetic number, because the mean of its divisors is an integer number (9950161270335).

Almost surely, 2^{82662821242641} is an apocalyptic number.

It is an amenable number.

82662821242641 is a deficient number, since it is larger than the sum of its proper divisors (36739114001379).

82662821242641 is a wasteful number, since it uses less digits than its factorization.

82662821242641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333696 (or 6333693 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 82662821242641 in words is "eighty-two trillion, six hundred sixty-two billion, eight hundred twenty-one million, two hundred forty-two thousand, six hundred forty-one".