75338466483357 has 48 divisors (see below), whose sum is σ = 143655318847872. Its totient is φ = 36834697128960.

The previous prime is 75338466483341. The next prime is 75338466483359.

75338466483357 is a `hidden beast` number, since 7 + 5 + 3 + 3 + 84 + 66 + 483 + 3 + 5 + 7 = 666.

75338466483357 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75338466483357 - 2⁴ = 75338466483341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75338466483359) 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 47 ways as a sum of consecutive naturals, for example, 3197444568 + ... + 3197468129.

It is an arithmetic number, because the mean of its divisors is an integer number (2992819142664).

Almost surely, 2^{75338466483357} is an apocalyptic number.

75338466483357 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75338466483357 is a deficient number, since it is larger than the sum of its proper divisors (68316852364515).

75338466483357 is a wasteful number, since it uses less digits than its factorization.

75338466483357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394912738 (or 6394912735 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 72.

The spelling of 75338466483357 in words is "seventy-five trillion, three hundred thirty-eight billion, four hundred sixty-six million, four hundred eighty-three thousand, three hundred fifty-seven".