9638680145 has 24 divisors (see below), whose sum is σ = 12925327464. Its totient is φ = 6875371008.

The previous prime is 9638680133. The next prime is 9638680217. The reversal of 9638680145 is 5410868369.

It can be written as a sum of positive squares in 4 ways, for example, as 1585950976 + 8052729169 = 39824^2 + 89737^2 .

It is not a de Polignac number, because 9638680145 - 2¹⁰ = 9638679121 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9638680093 and 9638680102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126374 + ... + 187743.

It is an arithmetic number, because the mean of its divisors is an integer number (538555311).

Almost surely, 2^9638680145 is an apocalyptic number.

9638680145 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9638680145 is a deficient number, since it is larger than the sum of its proper divisors (3286647319).

9638680145 is a wasteful number, since it uses less digits than its factorization.

9638680145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314177 (or 314158 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 9638680145 is about 98176.7800704423. The cubic root of 9638680145 is about 2128.1677429420.

The spelling of 9638680145 in words is "nine billion, six hundred thirty-eight million, six hundred eighty thousand, one hundred forty-five".