4188548961 has 81 divisors (see below), whose sum is σ = 6818819059. Its totient is φ = 2572191936.

The previous prime is 4188548921. The next prime is 4188549007. The reversal of 4188548961 is 1698458814.

It is a happy number.

The square root of 4188548961 is 64719.

It is a perfect power (a square), and thus also a powerful number.

4188548961 is a `hidden beast` number, since 4 + 1 + 8 + 8 + 548 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3260981025 + 927567936 = 57105^2 + 30456^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 4188548961 - 2⁹ = 4188548449 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4188548898 and 4188548907.

It is not an unprimeable number, because it can be changed into a prime (4188548921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 89118040 + ... + 89118086.

Almost surely, 2^4188548961 is an apocalyptic number.

4188548961 is the 64719-th square number.

4188548961 is the 32360-th centered octagonal number.

It is an amenable number.

4188548961 is a deficient number, since it is larger than the sum of its proper divisors (2630270098).

4188548961 is an frugal number, since it uses more digits than its factorization.

4188548961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 67 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The cubic root of 4188548961 is about 1611.9610070931.

The spelling of 4188548961 in words is "four billion, one hundred eighty-eight million, five hundred forty-eight thousand, nine hundred sixty-one".