11288637504 has 189 divisors, whose sum is σ = 34296657213. Its totient is φ = 3549533184.

The previous prime is 11288637499. The next prime is 11288637557. The reversal of 11288637504 is 40573688211.

The square root of 11288637504 is 106248.

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

11288637504 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 8 + 637 + 5 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2292494400 + 8996143104 = 47880^2 + 94848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11288637504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 48448972 + ... + 48449204.

Almost surely, 2^11288637504 is an apocalyptic number.

11288637504 is the 106248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11288637504

11288637504 is an abundant number, since it is smaller than the sum of its proper divisors (23008019709).

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

11288637504 is an equidigital number, since it uses as much as digits as its factorization.

11288637504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11288637504 in words is "eleven billion, two hundred eighty-eight million, six hundred thirty-seven thousand, five hundred four".