11344466516100 has 72 divisors (see below), whose sum is σ = 33586656253920. Its totient is φ = 2954837786880.

The previous prime is 11344466516081. The next prime is 11344466516161. The reversal of 11344466516100 is 161566444311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439695105 + ... + 439720904.

It is an arithmetic number, because the mean of its divisors is an integer number (466481336860).

Almost surely, 2^{11344466516100} is an apocalyptic number.

11344466516100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11344466516100 is an abundant number, since it is smaller than the sum of its proper divisors (22242189737820).

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

11344466516100 is a wasteful number, since it uses less digits than its factorization.

11344466516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879416069 (or 879416062 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 11344466516100 in words is "eleven trillion, three hundred forty-four billion, four hundred sixty-six million, five hundred sixteen thousand, one hundred".