11113822387600 has 405 divisors, whose sum is σ = 29221855638849. Its totient is φ = 4061295417600.

The previous prime is 11113822387501. The next prime is 11113822387651. The reversal of 11113822387600 is 678322831111.

The square root of 11113822387600 is 3333740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4000976059536 + 7112846328064 = 2000244^2 + 2666992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39271457059 + ... + 39271457341.

Almost surely, 2^{11113822387600} is an apocalyptic number.

11113822387600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11113822387600 is the 3333740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113822387600

11113822387600 is an abundant number, since it is smaller than the sum of its proper divisors (18108033251249).

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

11113822387600 is an equidigital number, since it uses as much as digits as its factorization.

11113822387600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 11113822387600 in words is "eleven trillion, one hundred thirteen billion, eight hundred twenty-two million, three hundred eighty-seven thousand, six hundred".