47242105584167 has 32 divisors (see below), whose sum is σ = 54261940824000. Its totient is φ = 40768481571840.

The previous prime is 47242105584137. The next prime is 47242105584173. The reversal of 47242105584167 is 76148550124274.

It is a cyclic number.

It is not a de Polignac number, because 47242105584167 - 2⁶ = 47242105584103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47242105584137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9078317 + ... + 13300377.

It is an arithmetic number, because the mean of its divisors is an integer number (1695685650750).

Almost surely, 2^{47242105584167} is an apocalyptic number.

47242105584167 is a deficient number, since it is larger than the sum of its proper divisors (7019835239833).

47242105584167 is a wasteful number, since it uses less digits than its factorization.

47242105584167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222691.

The product of its (nonzero) digits is 15052800, while the sum is 56.

The spelling of 47242105584167 in words is "forty-seven trillion, two hundred forty-two billion, one hundred five million, five hundred eighty-four thousand, one hundred sixty-seven".