918961752961 has 24 divisors (see below), whose sum is σ = 1112902220520. Its totient is φ = 755675811072.

The previous prime is 918961752949. The next prime is 918961753043. The reversal of 918961752961 is 169257169819.

It can be written as a sum of positive squares in 4 ways, for example, as 80638392961 + 838323360000 = 283969^2 + 915600^2 .

It is not a de Polignac number, because 918961752961 - 2³⁷ = 781522799489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 918961752893 and 918961752902.

It is not an unprimeable number, because it can be changed into a prime (918961752901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1836460 + ... + 2282653.

It is an arithmetic number, because the mean of its divisors is an integer number (46370925855).

Almost surely, 2^918961752961 is an apocalyptic number.

It is an amenable number.

918961752961 is a deficient number, since it is larger than the sum of its proper divisors (193940467559).

918961752961 is a wasteful number, since it uses less digits than its factorization.

918961752961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119313 (or 4119306 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 64.

The spelling of 918961752961 in words is "nine hundred eighteen billion, nine hundred sixty-one million, seven hundred fifty-two thousand, nine hundred sixty-one".