11416365200 has 60 divisors (see below), whose sum is σ = 27441720180. Its totient is φ = 4564231680.

The previous prime is 11416365151. The next prime is 11416365211. The reversal of 11416365200 is 256361411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 29767936 + 11386597264 = 5456^2 + 106708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936746 + ... + 948854.

It is an arithmetic number, because the mean of its divisors is an integer number (457362003).

Almost surely, 2^11416365200 is an apocalyptic number.

11416365200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11416365200 is an abundant number, since it is smaller than the sum of its proper divisors (16025354980).

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

11416365200 is a wasteful number, since it uses less digits than its factorization.

11416365200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14484 (or 14473 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 11416365200 in words is "eleven billion, four hundred sixteen million, three hundred sixty-five thousand, two hundred".