955938353841 has 81 divisors (see below), whose sum is σ = 1549600220961. Its totient is φ = 567672634368.

The previous prime is 955938353813. The next prime is 955938353863. The reversal of 955938353841 is 148353839559.

It is a happy number.

The square root of 955938353841 is 977721.

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

955938353841 is a `hidden beast` number, since 9 + 5 + 5 + 93 + 8 + 3 + 538 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9006959025 + 946931394816 = 94905^2 + 973104^2 .

It is not a de Polignac number, because 955938353841 - 2⁹ = 955938353329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (955938353941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 947411145 + ... + 947412153.

Almost surely, 2^955938353841 is an apocalyptic number.

955938353841 is the 977721-st square number.

955938353841 is the 488861-st centered octagonal number.

It is an amenable number.

955938353841 is a deficient number, since it is larger than the sum of its proper divisors (593661867120).

955938353841 is a wasteful number, since it uses less digits than its factorization.

955938353841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096 (or 1048 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 955938353841 in words is "nine hundred fifty-five billion, nine hundred thirty-eight million, three hundred fifty-three thousand, eight hundred forty-one".