11332857677761 has 9 divisors (see below), whose sum is σ = 11446518564579. Its totient is φ = 11220314523000.

The previous prime is 11332857677747. The next prime is 11332857677777. The reversal of 11332857677761 is 16777675823311.

The square root of 11332857677761 is 3366431.

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

11332857677761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10888475453361 + 444382224400 = 3299769^2 + 666620^2 .

It is not a de Polignac number, because 11332857677761 - 2¹⁹ = 11332857153473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11332857677693 and 11332857677702.

It is not an unprimeable number, because it can be changed into a prime (11332857677261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 339992866 + ... + 340026196.

Almost surely, 2^{11332857677761} is an apocalyptic number.

11332857677761 is the 3366431-st square number.

11332857677761 is the 1683216-th centered octagonal number.

It is an amenable number.

11332857677761 is a deficient number, since it is larger than the sum of its proper divisors (113660886818).

11332857677761 is an frugal number, since it uses more digits than its factorization.

11332857677761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66864 (or 33432 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 64.

Multiplying 11332857677761 by its sum of digits (64), we get a square (725302891376704 = 26931448²).

The spelling of 11332857677761 in words is "eleven trillion, three hundred thirty-two billion, eight hundred fifty-seven million, six hundred seventy-seven thousand, seven hundred sixty-one".