11648742200 has 24 divisors (see below), whose sum is σ = 27083326080. Its totient is φ = 4659496800.

The previous prime is 11648742191. The next prime is 11648742223. The reversal of 11648742200 is 224784611.

11648742200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 29121656 + ... + 29122055.

It is an arithmetic number, because the mean of its divisors is an integer number (1128471920).

Almost surely, 2^11648742200 is an apocalyptic number.

11648742200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11648742200 is an abundant number, since it is smaller than the sum of its proper divisors (15434583880).

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

11648742200 is a wasteful number, since it uses less digits than its factorization.

11648742200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58243727 (or 58243718 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 11648742200 in words is "eleven billion, six hundred forty-eight million, seven hundred forty-two thousand, two hundred".