10745474124841 has 27 divisors (see below), whose sum is σ = 11292803425911. Its totient is φ = 10223831535984.

The previous prime is 10745474124787. The next prime is 10745474124857. The reversal of 10745474124841 is 14842147454701.

The square root of 10745474124841 is 3278029.

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., 7201306425625 + 3544167699216 = 2683525^2 + 1882596^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10745474124841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10745474124641) 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, 27066685255 + ... + 27066685651.

Almost surely, 2^{10745474124841} is an apocalyptic number.

10745474124841 is the 3278029-th square number.

10745474124841 is the 1639015-th centered octagonal number.

It is an amenable number.

10745474124841 is a deficient number, since it is larger than the sum of its proper divisors (547329301070).

10745474124841 is an frugal number, since it uses more digits than its factorization.

10745474124841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 52.

The spelling of 10745474124841 in words is "ten trillion, seven hundred forty-five billion, four hundred seventy-four million, one hundred twenty-four thousand, eight hundred forty-one".