82346765305851 has 40 divisors (see below), whose sum is σ = 123776833237904. Its totient is φ = 54556495392960.

The previous prime is 82346765305817. The next prime is 82346765305853. The reversal of 82346765305851 is 15850356764328.

82346765305851 is a `hidden beast` number, since 8 + 2 + 3 + 46 + 7 + 6 + 5 + 3 + 0 + 585 + 1 = 666.

It is not a de Polignac number, because 82346765305851 - 2⁶ = 82346765305787 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82346765305853) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161839221 + ... + 162347241.

Almost surely, 2^{82346765305851} is an apocalyptic number.

82346765305851 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

82346765305851 is a deficient number, since it is larger than the sum of its proper divisors (41430067932053).

82346765305851 is a wasteful number, since it uses less digits than its factorization.

82346765305851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520473 (or 520464 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 82346765305851 in words is "eighty-two trillion, three hundred forty-six billion, seven hundred sixty-five million, three hundred five thousand, eight hundred fifty-one".