11100664845900 has 432 divisors, whose sum is σ = 40203956782080. Its totient is φ = 2509427174400.

The previous prime is 11100664845889. The next prime is 11100664845913. The reversal of 11100664845900 is 954846600111.

11100664845900 is a `hidden beast` number, since 1 + 1 + 10 + 0 + 6 + 6 + 48 + 4 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 233876371 + ... + 233923829.

Almost surely, 2^{11100664845900} is an apocalyptic number.

11100664845900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100664845900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20101978391040).

11100664845900 is an abundant number, since it is smaller than the sum of its proper divisors (29103291936180).

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

11100664845900 is a wasteful number, since it uses less digits than its factorization.

11100664845900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47894 (or 47884 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11100664845900 in words is "eleven trillion, one hundred billion, six hundred sixty-four million, eight hundred forty-five thousand, nine hundred".