42193673596845 has 64 divisors (see below), whose sum is σ = 76586535970560. Its totient is φ = 22035423062016.

The previous prime is 42193673596831. The next prime is 42193673596859. The reversal of 42193673596845 is 54869537639124.

42193673596845 is a `hidden beast` number, since 4 + 2 + 193 + 6 + 7 + 359 + 6 + 84 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (42193673596831) and next prime (42193673596859).

It is not a de Polignac number, because 42193673596845 - 2⁸ = 42193673596589 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15395832 + ... + 17928161.

It is an arithmetic number, because the mean of its divisors is an integer number (1196664624540).

Almost surely, 2^{42193673596845} is an apocalyptic number.

42193673596845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42193673596845 is a deficient number, since it is larger than the sum of its proper divisors (34392862373715).

42193673596845 is a wasteful number, since it uses less digits than its factorization.

42193673596845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33324203 (or 33324197 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 42193673596845 in words is "forty-two trillion, one hundred ninety-three billion, six hundred seventy-three million, five hundred ninety-six thousand, eight hundred forty-five".