75105331746561 has 12 divisors (see below), whose sum is σ = 108567231640192. Its totient is φ = 50032489264056.

The previous prime is 75105331746499. The next prime is 75105331746569. The reversal of 75105331746561 is 16564713350157.

75105331746561 is a `hidden beast` number, since 7 + 5 + 1 + 0 + 5 + 3 + 3 + 1 + 74 + 6 + 561 = 666.

It is not a de Polignac number, because 75105331746561 - 2²⁷ = 75105197528833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75105331746498 and 75105331746507.

It is not an unprimeable number, because it can be changed into a prime (75105331746569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3144312421 + ... + 3144336306.

Almost surely, 2^{75105331746561} is an apocalyptic number.

It is an amenable number.

75105331746561 is a deficient number, since it is larger than the sum of its proper divisors (33461899893631).

75105331746561 is a wasteful number, since it uses less digits than its factorization.

75105331746561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288650060 (or 6288650057 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 75105331746561 in words is "seventy-five trillion, one hundred five billion, three hundred thirty-one million, seven hundred forty-six thousand, five hundred sixty-one".