75416144161457 has 16 divisors (see below), whose sum is σ = 82286478028800. Its totient is φ = 68548198338000.

The previous prime is 75416144161343. The next prime is 75416144161483.

75416144161457 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75416144161457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75416144161957) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2381822408 + ... + 2381854070.

It is an arithmetic number, because the mean of its divisors is an integer number (5142904876800).

Almost surely, 2^{75416144161457} is an apocalyptic number.

It is an amenable number.

75416144161457 is a deficient number, since it is larger than the sum of its proper divisors (6870333867343).

75416144161457 is a wasteful number, since it uses less digits than its factorization.

75416144161457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62524.

The product of its digits is 11289600, while the sum is 56.

The spelling of 75416144161457 in words is "seventy-five trillion, four hundred sixteen billion, one hundred forty-four million, one hundred sixty-one thousand, four hundred fifty-seven".