11496565726464 has 864 divisors, whose sum is σ = 40620691292160. Its totient is φ = 2853107712000.

The previous prime is 11496565726463. The next prime is 11496565726493. The reversal of 11496565726464 is 46462756569411.

It is a junction number, because it is equal to n+sod(n) for n = 11496565726395 and 11496565726404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11496565726463) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1403556609 + ... + 1403564799.

Almost surely, 2^{11496565726464} is an apocalyptic number.

11496565726464 is a gapful number since it is divisible by the number (14) 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 11496565726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20310345646080).

11496565726464 is an abundant number, since it is smaller than the sum of its proper divisors (29124125565696).

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

11496565726464 is a wasteful number, since it uses less digits than its factorization.

11496565726464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8386 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 66.

The spelling of 11496565726464 in words is "eleven trillion, four hundred ninety-six billion, five hundred sixty-five million, seven hundred twenty-six thousand, four hundred sixty-four".