11809045766358 has 96 divisors (see below), whose sum is σ = 26517768076800. Its totient is φ = 3793549502400.

The previous prime is 11809045766339. The next prime is 11809045766407. The reversal of 11809045766358 is 85366754090811.

11809045766358 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 9 + 0 + 4 + 576 + 6 + 3 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11809045766295 and 11809045766304.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1964569573 + ... + 1964575583.

It is an arithmetic number, because the mean of its divisors is an integer number (276226750800).

Almost surely, 2^{11809045766358} is an apocalyptic number.

11809045766358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11809045766358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258884038400).

11809045766358 is an abundant number, since it is smaller than the sum of its proper divisors (14708722310442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11809045766358 is a wasteful number, since it uses less digits than its factorization.

11809045766358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12418 (or 12415 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 11809045766358 in words is "eleven trillion, eight hundred nine billion, forty-five million, seven hundred sixty-six thousand, three hundred fifty-eight".