11326886415936 has 1701 divisors, whose sum is σ = 43398745773201. Its totient is φ = 2814779455488.

The previous prime is 11326886415883. The next prime is 11326886415953. The reversal of 11326886415936 is 63951468862311.

It is a happy number.

The square root of 11326886415936 is 3365544.

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

11326886415936 is a `hidden beast` number, since 1 + 1 + 32 + 6 + 8 + 8 + 6 + 4 + 1 + 593 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1675574913600 + 9651311502336 = 1294440^2 + 3106656^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 242 ways as a sum of consecutive naturals, for example, 169058006175 + ... + 169058006241.

Almost surely, 2^{11326886415936} is an apocalyptic number.

11326886415936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11326886415936 is the 3365544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11326886415936

11326886415936 is an abundant number, since it is smaller than the sum of its proper divisors (32071859357265).

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

11326886415936 is a wasteful number, since it uses less digits than its factorization.

11326886415936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 115 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 11326886415936 in words is "eleven trillion, three hundred twenty-six billion, eight hundred eighty-six million, four hundred fifteen thousand, nine hundred thirty-six".