11404914816 has 128 divisors (see below), whose sum is σ = 30977432640. Its totient is φ = 3716444160.

The previous prime is 11404914793. The next prime is 11404914847. The reversal of 11404914816 is 61841940411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6735666 + ... + 6737358.

Almost surely, 2^11404914816 is an apocalyptic number.

11404914816 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 11404914816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15488716320).

11404914816 is an abundant number, since it is smaller than the sum of its proper divisors (19572517824).

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

11404914816 is a wasteful number, since it uses less digits than its factorization.

11404914816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 11404914816 in words is "eleven billion, four hundred four million, nine hundred fourteen thousand, eight hundred sixteen".