11008919338704 has 120 divisors (see below), whose sum is σ = 37282306726080. Its totient is φ = 2960381666304.

The previous prime is 11008919338609. The next prime is 11008919338733. The reversal of 11008919338704 is 40783391980011.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 321204834 + ... + 321239105.

It is an arithmetic number, because the mean of its divisors is an integer number (310685889384).

Almost surely, 2^{11008919338704} is an apocalyptic number.

11008919338704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11008919338704 is an abundant number, since it is smaller than the sum of its proper divisors (26273387387376).

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

11008919338704 is a wasteful number, since it uses less digits than its factorization.

11008919338704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642443977 (or 642443968 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 11008919338704 in words is "eleven trillion, eight billion, nine hundred nineteen million, three hundred thirty-eight thousand, seven hundred four".