83088768268323 has 48 divisors (see below), whose sum is σ = 137174507795520. Its totient is φ = 48147861307392.

The previous prime is 83088768268301. The next prime is 83088768268327. The reversal of 83088768268323 is 32386286788038.

83088768268323 is a `hidden beast` number, since 8 + 30 + 8 + 8 + 7 + 6 + 8 + 268 + 323 = 666.

It is not a de Polignac number, because 83088768268323 - 2¹⁰ = 83088768267299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83088768268327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406992286 + ... + 407196387.

It is an arithmetic number, because the mean of its divisors is an integer number (2857802245740).

Almost surely, 2^{83088768268323} is an apocalyptic number.

83088768268323 is a deficient number, since it is larger than the sum of its proper divisors (54085739527197).

83088768268323 is a wasteful number, since it uses less digits than its factorization.

83088768268323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814188748 (or 814188745 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 83088768268323 in words is "eighty-three trillion, eighty-eight billion, seven hundred sixty-eight million, two hundred sixty-eight thousand, three hundred twenty-three".