1162948716801 has 27 divisors (see below), whose sum is σ = 1756138057219. Its totient is φ = 741543036432.

The previous prime is 1162948716791. The next prime is 1162948716803. The reversal of 1162948716801 is 1086178492611.

The square root of 1162948716801 is 1078401.

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

1162948716801 is a `hidden beast` number, since 1 + 1 + 629 + 4 + 8 + 7 + 1 + 6 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1161758466801 + 1190250000 = 1077849^2 + 34500^2 .

It is not a de Polignac number, because 1162948716801 - 2⁷ = 1162948716673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1162948716803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74401855 + ... + 74417483.

Almost surely, 2^{1162948716801} is an apocalyptic number.

1162948716801 is the 1078401-st square number.

1162948716801 is the 539201-st centered octagonal number.

It is an amenable number.

1162948716801 is a deficient number, since it is larger than the sum of its proper divisors (593189340418).

1162948716801 is an frugal number, since it uses more digits than its factorization.

1162948716801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31310 (or 15655 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1162948716801 in words is "one trillion, one hundred sixty-two billion, nine hundred forty-eight million, seven hundred sixteen thousand, eight hundred one".