10733545411681 has 27 divisors (see below), whose sum is σ = 10998156511251. Its totient is φ = 10475272027584.

The previous prime is 10733545411663. The next prime is 10733545411717. The reversal of 10733545411681 is 18611454533701.

The square root of 10733545411681 is 3276209.

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

It can be written as a sum of positive squares in only one way, i.e., 189133661025 + 10544411750656 = 434895^2 + 3247216^2 .

It is not a de Polignac number, because 10733545411681 - 2¹⁷ = 10733545280609 is a prime.

It is a super-2 number, since 2×10733545411681² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10733545411651) 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, 29246717560 + ... + 29246717926.

Almost surely, 2^{10733545411681} is an apocalyptic number.

10733545411681 is the 3276209-th square number.

10733545411681 is the 1638105-th centered octagonal number.

It is an amenable number.

10733545411681 is a deficient number, since it is larger than the sum of its proper divisors (264611099570).

10733545411681 is an frugal number, since it uses more digits than its factorization.

10733545411681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 10733545411681 by its sum of digits (49), we get a square (525943725172369 = 22933463²).

The spelling of 10733545411681 in words is "ten trillion, seven hundred thirty-three billion, five hundred forty-five million, four hundred eleven thousand, six hundred eighty-one".