11020645606401 has 24 divisors (see below), whose sum is σ = 16120574496000. Its totient is φ = 7253933162112.

The previous prime is 11020645606393. The next prime is 11020645606403. The reversal of 11020645606401 is 10460654602011.

11020645606401 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 0 + 6 + 4 + 5 + 6 + 0 + 640 + 1 = 666.

It is not a de Polignac number, because 11020645606401 - 2³ = 11020645606393 is a prime.

It is a super-3 number, since 3×11020645606401³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11020645606403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37200580 + ... + 37495658.

It is an arithmetic number, because the mean of its divisors is an integer number (671690604000).

Almost surely, 2^{11020645606401} is an apocalyptic number.

It is an amenable number.

11020645606401 is a deficient number, since it is larger than the sum of its proper divisors (5099928889599).

11020645606401 is a wasteful number, since it uses less digits than its factorization.

11020645606401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347693 (or 347690 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11020645606401 in words is "eleven trillion, twenty billion, six hundred forty-five million, six hundred six thousand, four hundred one".