9118825306461 has 24 divisors (see below), whose sum is σ = 14379152247096. Its totient is φ = 5534713774080.

The previous prime is 9118825306433. The next prime is 9118825306469. The reversal of 9118825306461 is 1646035288119.

It is a happy number.

9118825306461 is a `hidden beast` number, since 91 + 18 + 8 + 2 + 530 + 6 + 4 + 6 + 1 = 666.

9118825306461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1220983010361 + 7897842296100 = 1104981^2 + 2810310^2 .

It is not a de Polignac number, because 9118825306461 - 2⁵ = 9118825306429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9118825306398 and 9118825306407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9118825306469) 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, 533818020 + ... + 533835101.

It is an arithmetic number, because the mean of its divisors is an integer number (599131343629).

Almost surely, 2^{9118825306461} is an apocalyptic number.

It is an amenable number.

9118825306461 is a deficient number, since it is larger than the sum of its proper divisors (5260326940635).

9118825306461 is a wasteful number, since it uses less digits than its factorization.

9118825306461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067653213 (or 1067653210 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 9118825306461 in words is "nine trillion, one hundred eighteen billion, eight hundred twenty-five million, three hundred six thousand, four hundred sixty-one".