75461816457 has 16 divisors (see below), whose sum is σ = 111833031360. Its totient is φ = 50290891200.

The previous prime is 75461816399. The next prime is 75461816459.

75461816457 is a `hidden beast` number, since 7 + 5 + 4 + 6 + 181 + 6 + 457 = 666.

75461816457 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75461816457 - 2¹⁶ = 75461750921 is a prime.

It is a super-5 number, since 5×75461816457⁵ (a number of 56 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (75461816459) 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 15 ways as a sum of consecutive naturals, for example, 390144 + ... + 550577.

It is an arithmetic number, because the mean of its divisors is an integer number (6989564460).

Almost surely, 2^75461816457 is an apocalyptic number.

It is an amenable number.

75461816457 is a deficient number, since it is larger than the sum of its proper divisors (36371214903).

75461816457 is a wasteful number, since it uses less digits than its factorization.

75461816457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943701 (or 943695 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 75461816457 in words is "seventy-five billion, four hundred sixty-one million, eight hundred sixteen thousand, four hundred fifty-seven".