808197726598101 has 16 divisors (see below), whose sum is σ = 1368377103235200. Its totient is φ = 461827272341664.

The previous prime is 808197726598091. The next prime is 808197726598111. The reversal of 808197726598101 is 101895627791808.

808197726598101 is a `hidden beast` number, since 8 + 0 + 8 + 1 + 9 + 7 + 7 + 26 + 598 + 1 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (808197726598091) and next prime (808197726598111).

It is not a de Polignac number, because 808197726598101 - 2²¹ = 808197724500949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 808197726598101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808197726598111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2138089223616 + ... + 2138089223993.

It is an arithmetic number, because the mean of its divisors is an integer number (85523568952200).

Almost surely, 2^{808197726598101} is an apocalyptic number.

It is an amenable number.

808197726598101 is a deficient number, since it is larger than the sum of its proper divisors (560179376637099).

808197726598101 is a wasteful number, since it uses less digits than its factorization.

808197726598101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276178447625 (or 4276178447619 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 72.

The spelling of 808197726598101 in words is "eight hundred eight trillion, one hundred ninety-seven billion, seven hundred twenty-six million, five hundred ninety-eight thousand, one hundred one".