947785972849 has 9 divisors (see below), whose sum is σ = 949712626827. Its totient is φ = 945863225424.

The previous prime is 947785972789. The next prime is 947785972897. The reversal of 947785972849 is 948279587749.

The square root of 947785972849 is 973543.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 49900858225 + 897885114624 = 223385^2 + 947568^2 .

It is not a de Polignac number, because 947785972849 - 2⁹ = 947785972337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (947785975849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 912209272 + ... + 912210310.

It is an arithmetic number, because the mean of its divisors is an integer number (105523625203).

Almost surely, 2^947785972849 is an apocalyptic number.

947785972849 is the 973543-rd square number.

947785972849 is the 486772-nd centered octagonal number.

It is an amenable number.

947785972849 is a deficient number, since it is larger than the sum of its proper divisors (1926653978).

947785972849 is an frugal number, since it uses more digits than its factorization.

947785972849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 1976 counting only the distinct ones).

The product of its digits is 2560481280, while the sum is 79.

The spelling of 947785972849 in words is "nine hundred forty-seven billion, seven hundred eighty-five million, nine hundred seventy-two thousand, eight hundred forty-nine".