95820446349 has 24 divisors (see below), whose sum is σ = 144438465600. Its totient is φ = 61097205312.

The previous prime is 95820446327. The next prime is 95820446363. The reversal of 95820446349 is 94364402859.

95820446349 is a `hidden beast` number, since 9 + 58 + 204 + 46 + 349 = 666.

It is not a de Polignac number, because 95820446349 - 2⁷ = 95820446221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 95820446295 and 95820446304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95820446369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4210002 + ... + 4232700.

It is an arithmetic number, because the mean of its divisors is an integer number (6018269400).

Almost surely, 2^95820446349 is an apocalyptic number.

It is an amenable number.

95820446349 is a deficient number, since it is larger than the sum of its proper divisors (48618019251).

95820446349 is a wasteful number, since it uses less digits than its factorization.

95820446349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43121 (or 43118 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 95820446349 in words is "ninety-five billion, eight hundred twenty million, four hundred forty-six thousand, three hundred forty-nine".