83101120345665 has 24 divisors (see below), whose sum is σ = 144049426521000. Its totient is φ = 44318294567424.

The previous prime is 83101120345637. The next prime is 83101120345667. The reversal of 83101120345665 is 56654302110138.

83101120345665 is a `hidden beast` number, since 8 + 3 + 10 + 1 + 120 + 3 + 456 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39919701785616 + 43181418560049 = 6318204^2 + 6571257^2 .

It is not a de Polignac number, because 83101120345665 - 2⁹ = 83101120345153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 83101120345665.

It is not an unprimeable number, because it can be changed into a prime (83101120345667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47102302 + ... + 48834711.

It is an arithmetic number, because the mean of its divisors is an integer number (6002059438375).

Almost surely, 2^{83101120345665} is an apocalyptic number.

It is an amenable number.

83101120345665 is a deficient number, since it is larger than the sum of its proper divisors (60948306175335).

83101120345665 is a wasteful number, since it uses less digits than its factorization.

83101120345665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95956273 (or 95956270 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 83101120345665 in words is "eighty-three trillion, one hundred one billion, one hundred twenty million, three hundred forty-five thousand, six hundred sixty-five".