9461881649 has 48 divisors (see below), whose sum is σ = 11417784000. Its totient is φ = 7803734400.

The previous prime is 9461881643. The next prime is 9461881661.

9461881649 is nontrivially palindromic in base 10.

9461881649 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9461881649 - 2³² = 5166914353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9461881594 and 9461881603.

It is not an unprimeable number, because it can be changed into a prime (9461881643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9266759 + ... + 9267779.

It is an arithmetic number, because the mean of its divisors is an integer number (237870500).

Almost surely, 2^9461881649 is an apocalyptic number.

It is an amenable number.

9461881649 is a deficient number, since it is larger than the sum of its proper divisors (1955902351).

9461881649 is a wasteful number, since it uses less digits than its factorization.

9461881649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1219 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 56.

The square root of 9461881649 is about 97272.2038868247. The cubic root of 9461881649 is about 2115.0753176218.

The spelling of 9461881649 in words is "nine billion, four hundred sixty-one million, eight hundred eighty-one thousand, six hundred forty-nine".