83126473801605 has 108 divisors (see below), whose sum is σ = 165739634393580. Its totient is φ = 38516518969344.

The previous prime is 83126473801601. The next prime is 83126473801619. The reversal of 83126473801605 is 50610837462138.

83126473801605 is a `hidden beast` number, since 8 + 3 + 1 + 2 + 6 + 473 + 8 + 0 + 160 + 5 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 59793458460129 + 23333015341476 = 7732623^2 + 4830426^2 .

It is not a de Polignac number, because 83126473801605 - 2² = 83126473801601 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83126473801601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16713060 + ... + 21108749.

It is an arithmetic number, because the mean of its divisors is an integer number (1534626244385).

Almost surely, 2^{83126473801605} is an apocalyptic number.

83126473801605 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

83126473801605 is a deficient number, since it is larger than the sum of its proper divisors (82613160591975).

83126473801605 is a wasteful number, since it uses less digits than its factorization.

83126473801605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37821880 (or 37821847 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 83126473801605 in words is "eighty-three trillion, one hundred twenty-six billion, four hundred seventy-three million, eight hundred one thousand, six hundred five".