11477669912641 has 27 divisors (see below), whose sum is σ = 12419066159913. Its totient is φ = 10605933437760.

The previous prime is 11477669912633. The next prime is 11477669912711. The reversal of 11477669912641 is 14621996677411.

The square root of 11477669912641 is 3387871.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9964622309041 + 1513047603600 = 3156679^2 + 1230060^2 .

It is not a de Polignac number, because 11477669912641 - 2³ = 11477669912633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11477669912341) 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, 2639149335 + ... + 2639153683.

Almost surely, 2^{11477669912641} is an apocalyptic number.

11477669912641 is the 3387871-st square number.

11477669912641 is the 1693936-th centered octagonal number.

It is an amenable number.

11477669912641 is a deficient number, since it is larger than the sum of its proper divisors (941396247272).

11477669912641 is an frugal number, since it uses more digits than its factorization.

11477669912641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 4409 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 64.

Multiplying 11477669912641 by its sum of digits (64), we get a square (734570874409024 = 27102968²).

The spelling of 11477669912641 in words is "eleven trillion, four hundred seventy-seven billion, six hundred sixty-nine million, nine hundred twelve thousand, six hundred forty-one".