83088768268145 has 16 divisors (see below), whose sum is σ = 99771533730000. Its totient is φ = 66427680334848.

The previous prime is 83088768268063. The next prime is 83088768268157. The reversal of 83088768268145 is 54186286788038.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8339481249856 + 74749287018289 = 2887816^2 + 8645767^2 .

It is a cyclic number.

It is not a de Polignac number, because 83088768268145 - 2³⁸ = 82813890361201 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96975581 + ... + 97828629.

It is an arithmetic number, because the mean of its divisors is an integer number (6235720858125).

Almost surely, 2^{83088768268145} is an apocalyptic number.

It is an amenable number.

83088768268145 is a deficient number, since it is larger than the sum of its proper divisors (16682765461855).

83088768268145 is a wasteful number, since it uses less digits than its factorization.

83088768268145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865732.

The product of its (nonzero) digits is 990904320, while the sum is 74.

The spelling of 83088768268145 in words is "eighty-three trillion, eighty-eight billion, seven hundred sixty-eight million, two hundred sixty-eight thousand, one hundred forty-five".