81097374118761 has 128 divisors (see below), whose sum is σ = 166875074150400. Its totient is φ = 37546890958080.

The previous prime is 81097374118759. The next prime is 81097374118777. The reversal of 81097374118761 is 16781147379018.

81097374118761 is a `hidden beast` number, since 8 + 1 + 0 + 97 + 374 + 118 + 7 + 61 = 666.

It is not a de Polignac number, because 81097374118761 - 2¹ = 81097374118759 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (81097374118361) 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 127 ways as a sum of consecutive naturals, for example, 50950801 + ... + 52518366.

It is an arithmetic number, because the mean of its divisors is an integer number (1303711516800).

Almost surely, 2^{81097374118761} is an apocalyptic number.

It is an amenable number.

81097374118761 is an abundant number, since it is smaller than the sum of its proper divisors (85777700031639).

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

81097374118761 is a wasteful number, since it uses less digits than its factorization.

81097374118761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103469236 (or 103469230 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 81097374118761 in words is "eighty-one trillion, ninety-seven billion, three hundred seventy-four million, one hundred eighteen thousand, seven hundred sixty-one".