85456746387 has 16 divisors (see below), whose sum is σ = 126638786560. Its totient is φ = 56954874600.

The previous prime is 85456746383. The next prime is 85456746391. The reversal of 85456746387 is 78364765458.

85456746387 is a `hidden beast` number, since 8 + 5 + 4 + 567 + 4 + 63 + 8 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (85456746383) and next prime (85456746391).

It is not a de Polignac number, because 85456746387 - 2² = 85456746383 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85456746383) 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 15 ways as a sum of consecutive naturals, for example, 355939 + ... + 545532.

It is an arithmetic number, because the mean of its divisors is an integer number (7914924160).

Almost surely, 2^85456746387 is an apocalyptic number.

85456746387 is a deficient number, since it is larger than the sum of its proper divisors (41182040173).

85456746387 is a wasteful number, since it uses less digits than its factorization.

85456746387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904991 (or 904985 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 85456746387 in words is "eighty-five billion, four hundred fifty-six million, seven hundred forty-six thousand, three hundred eighty-seven".