82634317457341 has 8 divisors (see below), whose sum is σ = 94225556557944. Its totient is φ = 71790900234240.

The previous prime is 82634317457309. The next prime is 82634317457387. The reversal of 82634317457341 is 14375471343628.

It can be written as a sum of positive squares in 4 ways, for example, as 36767899831716 + 45866417625625 = 6063654^2 + 6772475^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82634317457341 - 2⁵ = 82634317457309 is a prime.

It is a super-2 number, since 2×82634317457341² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82634317451341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186955469140 + ... + 186955469581.

It is an arithmetic number, because the mean of its divisors is an integer number (11778194569743).

Almost surely, 2^{82634317457341} is an apocalyptic number.

It is an amenable number.

82634317457341 is a deficient number, since it is larger than the sum of its proper divisors (11591239100603).

82634317457341 is a wasteful number, since it uses less digits than its factorization.

82634317457341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373910938751.

The product of its digits is 40642560, while the sum is 58.

The spelling of 82634317457341 in words is "eighty-two trillion, six hundred thirty-four billion, three hundred seventeen million, four hundred fifty-seven thousand, three hundred forty-one".