83295645345 has 48 divisors (see below), whose sum is σ = 157580467200. Its totient is φ = 40366287360.

The previous prime is 83295645221. The next prime is 83295645361. The reversal of 83295645345 is 54354659238.

It is a happy number.

83295645345 is a `hidden beast` number, since 8 + 3 + 29 + 564 + 53 + 4 + 5 = 666.

It is not a de Polignac number, because 83295645345 - 2¹⁷ = 83295514273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 83295645291 and 83295645300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014336 + ... + 1093374.

It is an arithmetic number, because the mean of its divisors is an integer number (3282926400).

Almost surely, 2^83295645345 is an apocalyptic number.

It is an amenable number.

83295645345 is a deficient number, since it is larger than the sum of its proper divisors (74284821855).

83295645345 is a wasteful number, since it uses less digits than its factorization.

83295645345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81190 (or 81187 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 83295645345 in words is "eighty-three billion, two hundred ninety-five million, six hundred forty-five thousand, three hundred forty-five".