11084148517211 has 16 divisors (see below), whose sum is σ = 13819491898368. Its totient is φ = 8636815252800.

The previous prime is 11084148517147. The next prime is 11084148517217. The reversal of 11084148517211 is 11271584148011.

11084148517211 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 11084148517211 - 2⁶ = 11084148517147 is a prime.

It is a super-3 number, since 3×11084148517211³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11084148517217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2173871 + ... + 5185943.

It is an arithmetic number, because the mean of its divisors is an integer number (863718243648).

Almost surely, 2^{11084148517211} is an apocalyptic number.

11084148517211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11084148517211 is a deficient number, since it is larger than the sum of its proper divisors (2735343381157).

11084148517211 is a wasteful number, since it uses less digits than its factorization.

11084148517211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059882.

The product of its (nonzero) digits is 71680, while the sum is 44.

The spelling of 11084148517211 in words is "eleven trillion, eighty-four billion, one hundred forty-eight million, five hundred seventeen thousand, two hundred eleven".