42593166006336 has 567 divisors, whose sum is σ = 136832865603343. Its totient is φ = 12657974714880.

The previous prime is 42593166006271. The next prime is 42593166006437. The reversal of 42593166006336 is 63360066139524.

The square root of 42593166006336 is 6526344.

It is a perfect power (a square), and thus also a powerful number.

42593166006336 is a `hidden beast` number, since 4 + 2 + 593 + 16 + 6 + 0 + 0 + 6 + 3 + 36 = 666.

42593166006336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 101654333935 + ... + 101654334353.

Almost surely, 2^{42593166006336} is an apocalyptic number.

42593166006336 is the 6526344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42593166006336

42593166006336 is an abundant number, since it is smaller than the sum of its proper divisors (94239699597007).

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

42593166006336 is an equidigital number, since it uses as much as digits as its factorization.

42593166006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 42593166006336 in words is "forty-two trillion, five hundred ninety-three billion, one hundred sixty-six million, six thousand, three hundred thirty-six".