1048168487601 has 81 divisors (see below), whose sum is σ = 1588250071681. Its totient is φ = 666109501824.

The previous prime is 1048168487593. The next prime is 1048168487617. The reversal of 1048168487601 is 1067848618401.

The square root of 1048168487601 is 1023801.

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

1048168487601 is a `hidden beast` number, since 1 + 0 + 48 + 1 + 68 + 487 + 60 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101634077601 + 946534410000 = 318801^2 + 972900^2 .

It is not a de Polignac number, because 1048168487601 - 2³ = 1048168487593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1048168497601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7650864805 + ... + 7650864941.

Almost surely, 2^{1048168487601} is an apocalyptic number.

1048168487601 is the 1023801-st square number.

1048168487601 is the 511901-st centered octagonal number.

It is an amenable number.

1048168487601 is a deficient number, since it is larger than the sum of its proper divisors (540081584080).

1048168487601 is an frugal number, since it uses more digits than its factorization.

1048168487601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 1048168487601 in words is "one trillion, forty-eight billion, one hundred sixty-eight million, four hundred eighty-seven thousand, six hundred one".