11456448084135 has 16 divisors (see below), whose sum is σ = 20367018816480. Its totient is φ = 6110105644800.

The previous prime is 11456448084121. The next prime is 11456448084167. The reversal of 11456448084135 is 53148084465411.

11456448084135 is a `hidden beast` number, since 1 + 1 + 4 + 56 + 4 + 480 + 84 + 1 + 35 = 666.

11456448084135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11456448084135 - 2¹⁰ = 11456448083111 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42431289066 + ... + 42431289335.

It is an arithmetic number, because the mean of its divisors is an integer number (1272938676030).

Almost surely, 2^{11456448084135} is an apocalyptic number.

11456448084135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11456448084135 is a deficient number, since it is larger than the sum of its proper divisors (8910570732345).

11456448084135 is an equidigital number, since it uses as much as digits as its factorization.

11456448084135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84862578415 (or 84862578409 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 11456448084135 in words is "eleven trillion, four hundred fifty-six billion, four hundred forty-eight million, eighty-four thousand, one hundred thirty-five".