75342466424357 has 8 divisors (see below), whose sum is σ = 86517664793760. Its totient is φ = 64888248594960.

The previous prime is 75342466424333. The next prime is 75342466424359.

It is a happy number.

75342466424357 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75342466424357 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75342466424357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75342466424359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180245134778 + ... + 180245135195.

It is an arithmetic number, because the mean of its divisors is an integer number (10814708099220).

Almost surely, 2^{75342466424357} is an apocalyptic number.

It is an amenable number.

75342466424357 is a deficient number, since it is larger than the sum of its proper divisors (11175198369403).

75342466424357 is a wasteful number, since it uses less digits than its factorization.

75342466424357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360490270003.

The product of its digits is 406425600, while the sum is 62.

The spelling of 75342466424357 in words is "seventy-five trillion, three hundred forty-two billion, four hundred sixty-six million, four hundred twenty-four thousand, three hundred fifty-seven".