11536066456101 has 24 divisors (see below), whose sum is σ = 18968393860416. Its totient is φ = 6687574755840.

The previous prime is 11536066456067. The next prime is 11536066456129. The reversal of 11536066456101 is 10165466063511.

11536066456101 is a `hidden beast` number, since 1 + 1 + 5 + 36 + 0 + 66 + 456 + 101 = 666.

It is not a de Polignac number, because 11536066456101 - 2¹¹ = 11536066454053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11536066456301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2533169980 + ... + 2533174533.

It is an arithmetic number, because the mean of its divisors is an integer number (790349744184).

Almost surely, 2^{11536066456101} is an apocalyptic number.

11536066456101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11536066456101 is a deficient number, since it is larger than the sum of its proper divisors (7432327404315).

11536066456101 is a wasteful number, since it uses less digits than its factorization.

11536066456101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066344553 (or 5066344550 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 11536066456101 in words is "eleven trillion, five hundred thirty-six billion, sixty-six million, four hundred fifty-six thousand, one hundred one".