11314095840 has 72 divisors (see below), whose sum is σ = 38609356968. Its totient is φ = 3017091840.

The previous prime is 11314095827. The next prime is 11314095857. The reversal of 11314095840 is 4859041311.

11314095840 is a `hidden beast` number, since 1 + 1 + 31 + 40 + 9 + 584 + 0 = 666.

11314095840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11314095795 and 11314095804.

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 11 ways as a sum of consecutive naturals, for example, 3927066 + ... + 3929945.

It is an arithmetic number, because the mean of its divisors is an integer number (536241069).

Almost surely, 2^11314095840 is an apocalyptic number.

11314095840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314095840 is an abundant number, since it is smaller than the sum of its proper divisors (27295261128).

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

11314095840 is a wasteful number, since it uses less digits than its factorization.

11314095840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857032 (or 7857021 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11314095840 in words is "eleven billion, three hundred fourteen million, ninety-five thousand, eight hundred forty".