472777745611017 has 192 divisors, whose sum is σ = 818963574912000. Its totient is φ = 239830608568320.

The previous prime is 472777745611007. The next prime is 472777745611081. The reversal of 472777745611017 is 710116547777274.

It is not a de Polignac number, because 472777745611017 - 2¹⁶ = 472777745545481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (472777745611007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10134765109 + ... + 10134811757.

It is an arithmetic number, because the mean of its divisors is an integer number (4265435286000).

Almost surely, 2^{472777745611017} is an apocalyptic number.

It is an amenable number.

472777745611017 is a deficient number, since it is larger than the sum of its proper divisors (346185829300983).

472777745611017 is a wasteful number, since it uses less digits than its factorization.

472777745611017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47556 (or 47549 counting only the distinct ones).

The product of its (nonzero) digits is 112943040, while the sum is 66.

The spelling of 472777745611017 in words is "four hundred seventy-two trillion, seven hundred seventy-seven billion, seven hundred forty-five million, six hundred eleven thousand, seventeen".