6118454549601 has 105 divisors (see below), whose sum is σ = 9777665387791. Its totient is φ = 3826919799936.

The previous prime is 6118454549591. The next prime is 6118454549609. The reversal of 6118454549601 is 1069454548116.

The square root of 6118454549601 is 2473551.

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

6118454549601 is a `hidden beast` number, since 6 + 1 + 1 + 8 + 4 + 545 + 4 + 96 + 0 + 1 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2788282134225 + 3330172415376 = 1669815^2 + 1824876^2 .

It is not a de Polignac number, because 6118454549601 - 2⁹ = 6118454549089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6118454549609) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 19301118295 + ... + 19301118611.

Almost surely, 2^{6118454549601} is an apocalyptic number.

6118454549601 is the 2473551-st square number.

6118454549601 is the 1236776-th centered octagonal number.

It is an amenable number.

6118454549601 is a deficient number, since it is larger than the sum of its proper divisors (3659210838190).

6118454549601 is an frugal number, since it uses more digits than its factorization.

6118454549601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 6118454549601 in words is "six trillion, one hundred eighteen billion, four hundred fifty-four million, five hundred forty-nine thousand, six hundred one".