11014445464416 has 192 divisors, whose sum is σ = 32192520192000. Its totient is φ = 3663827002368.

The previous prime is 11014445464357. The next prime is 11014445464459. The reversal of 11014445464416 is 61446454441011.

11014445464416 is a `hidden beast` number, since 1 + 1 + 0 + 14 + 44 + 546 + 44 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860564385 + ... + 860577183.

It is an arithmetic number, because the mean of its divisors is an integer number (167669376000).

Almost surely, 2^{11014445464416} is an apocalyptic number.

11014445464416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014445464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096260096000).

11014445464416 is an abundant number, since it is smaller than the sum of its proper divisors (21178074727584).

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

11014445464416 is a wasteful number, since it uses less digits than its factorization.

11014445464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14818 (or 14804 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 11014445464416 in words is "eleven trillion, fourteen billion, four hundred forty-five million, four hundred sixty-four thousand, four hundred sixteen".