11581203456 has 297 divisors, whose sum is σ = 35901458931. Its totient is φ = 3595235328.

The previous prime is 11581203451. The next prime is 11581203467. The reversal of 11581203456 is 65430218511.

The square root of 11581203456 is 107616.

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

11581203456 is a `hidden beast` number, since 1 + 1 + 581 + 20 + 3 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11581203456.

It is not an unprimeable number, because it can be changed into a prime (11581203451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 196291555 + ... + 196291613.

Almost surely, 2^11581203456 is an apocalyptic number.

11581203456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11581203456 is the 107616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11581203456

11581203456 is an abundant number, since it is smaller than the sum of its proper divisors (24320255475).

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

11581203456 is an equidigital number, since it uses as much as digits as its factorization.

11581203456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 11581203456 by its sum of digits (36), we get a square (416923324416 = 645696²).

11581203456 divided by its sum of digits (36) gives a square (321700096 = 17936²).

The spelling of 11581203456 in words is "eleven billion, five hundred eighty-one million, two hundred three thousand, four hundred fifty-six".