42845172768 has 72 divisors (see below), whose sum is σ = 122230485468. Its totient is φ = 14236065792.

The previous prime is 42845172749. The next prime is 42845172793. The reversal of 42845172768 is 86727154824.

42845172768 is a `hidden beast` number, since 42 + 8 + 4 + 517 + 27 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42844032144 + 1140624 = 206988^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 147505 + ... + 327792.

Almost surely, 2^42845172768 is an apocalyptic number.

42845172768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42845172768 is an abundant number, since it is smaller than the sum of its proper divisors (79385312700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42845172768 is a wasteful number, since it uses less digits than its factorization.

42845172768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475626 (or 475615 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 42845172768 in words is "forty-two billion, eight hundred forty-five million, one hundred seventy-two thousand, seven hundred sixty-eight".