8735348961 has 16 divisors (see below), whose sum is σ = 12971301120. Its totient is φ = 5810046480.

The previous prime is 8735348929. The next prime is 8735348987. The reversal of 8735348961 is 1698435378.

It is not a de Polignac number, because 8735348961 - 2⁵ = 8735348929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8735348898 and 8735348907.

It is not an unprimeable number, because it can be changed into a prime (8735348161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363690 + ... + 386963.

It is an arithmetic number, because the mean of its divisors is an integer number (810706320).

Almost surely, 2^8735348961 is an apocalyptic number.

It is an amenable number.

8735348961 is a deficient number, since it is larger than the sum of its proper divisors (4235952159).

8735348961 is a wasteful number, since it uses less digits than its factorization.

8735348961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751093 (or 751087 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 8735348961 is about 93463.0887623558. The cubic root of 8735348961 is about 2059.4918909739.

The spelling of 8735348961 in words is "eight billion, seven hundred thirty-five million, three hundred forty-eight thousand, nine hundred sixty-one".