85623310467 has 80 divisors (see below), whose sum is σ = 136219438080. Its totient is φ = 53485660800.

The previous prime is 85623310459. The next prime is 85623310483. The reversal of 85623310467 is 76401332658.

85623310467 is a `hidden beast` number, since 8 + 5 + 623 + 3 + 10 + 4 + 6 + 7 = 666.

It is not a de Polignac number, because 85623310467 - 2³ = 85623310459 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85623310567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19277967 + ... + 19282407.

It is an arithmetic number, because the mean of its divisors is an integer number (1702742976).

Almost surely, 2^85623310467 is an apocalyptic number.

85623310467 is a deficient number, since it is larger than the sum of its proper divisors (50596127613).

85623310467 is a wasteful number, since it uses less digits than its factorization.

85623310467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 85623310467 in words is "eighty-five billion, six hundred twenty-three million, three hundred ten thousand, four hundred sixty-seven".