11011046319 has 72 divisors (see below), whose sum is σ = 21096981360. Its totient is φ = 5466327552.

The previous prime is 11011046297. The next prime is 11011046411. The reversal of 11011046319 is 91364011011.

11011046319 is a `hidden beast` number, since 1 + 10 + 1 + 10 + 4 + 631 + 9 = 666.

It is not a de Polignac number, because 11011046319 - 2³² = 6716079023 is a prime.

It is a super-2 number, since 2×11011046319² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11011046292 and 11011046301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011046419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40972 + ... + 153950.

It is an arithmetic number, because the mean of its divisors is an integer number (293013630).

Almost surely, 2^11011046319 is an apocalyptic number.

11011046319 is a deficient number, since it is larger than the sum of its proper divisors (10085935041).

11011046319 is a wasteful number, since it uses less digits than its factorization.

11011046319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113029 (or 113019 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 11011046319 in words is "eleven billion, eleven million, forty-six thousand, three hundred nineteen".