88768667340873 has 96 divisors (see below), whose sum is σ = 147266869067136. Its totient is φ = 51041599801344.

The previous prime is 88768667340869. The next prime is 88768667340919. The reversal of 88768667340873 is 37804376686788.

88768667340873 is a `hidden beast` number, since 8 + 8 + 7 + 6 + 86 + 67 + 3 + 408 + 73 = 666.

It is not a de Polignac number, because 88768667340873 - 2² = 88768667340869 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 88768667340792 and 88768667340801.

It is not an unprimeable number, because it can be changed into a prime (88768667340863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293904811 + ... + 294206687.

It is an arithmetic number, because the mean of its divisors is an integer number (1534029886116).

Almost surely, 2^{88768667340873} is an apocalyptic number.

It is an amenable number.

88768667340873 is a deficient number, since it is larger than the sum of its proper divisors (58498201726263).

88768667340873 is a wasteful number, since it uses less digits than its factorization.

88768667340873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302983 (or 302980 counting only the distinct ones).

The product of its (nonzero) digits is 10924720128, while the sum is 81.

The spelling of 88768667340873 in words is "eighty-eight trillion, seven hundred sixty-eight billion, six hundred sixty-seven million, three hundred forty thousand, eight hundred seventy-three".