47546345601 has 10 divisors (see below), whose sum is σ = 71026022562. Its totient is φ = 31697563680.

The previous prime is 47546345563. The next prime is 47546345621. The reversal of 47546345601 is 10654364574.

47546345601 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 6 + 34 + 5 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33775088400 + 13771257201 = 183780^2 + 117351^2 .

It is not a de Polignac number, because 47546345601 - 2¹⁴ = 47546329217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47546345621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 293495880 + ... + 293496041.

Almost surely, 2^47546345601 is an apocalyptic number.

It is an amenable number.

47546345601 is a deficient number, since it is larger than the sum of its proper divisors (23479676961).

47546345601 is an equidigital number, since it uses as much as digits as its factorization.

47546345601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586991933 (or 586991924 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 47546345601 in words is "forty-seven billion, five hundred forty-six million, three hundred forty-five thousand, six hundred one".