11604738818100 has 144 divisors (see below), whose sum is σ = 33878391769152. Its totient is φ = 3066769520640.

The previous prime is 11604738818093. The next prime is 11604738818173. The reversal of 11604738818100 is 181883740611.

It is a super-2 number, since 2×11604738818100² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11604738818100.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 283485234 + ... + 283526166.

It is an arithmetic number, because the mean of its divisors is an integer number (235266609508).

Almost surely, 2^{11604738818100} is an apocalyptic number.

11604738818100 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 11604738818100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939195884576).

11604738818100 is an abundant number, since it is smaller than the sum of its proper divisors (22273652951052).

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

11604738818100 is a wasteful number, since it uses less digits than its factorization.

11604738818100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49426 (or 49419 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 11604738818100 in words is "eleven trillion, six hundred four billion, seven hundred thirty-eight million, eight hundred eighteen thousand, one hundred".