11632356069376 has 351 divisors, whose sum is σ = 28373110039323. Its totient is φ = 4754137006080.

The previous prime is 11632356069317. The next prime is 11632356069407. The reversal of 11632356069376 is 67396065323611.

The square root of 11632356069376 is 3410624.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11632356069376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35143069531 + ... + 35143069861.

Almost surely, 2^{11632356069376} is an apocalyptic number.

11632356069376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11632356069376 is the 3410624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11632356069376

11632356069376 is an abundant number, since it is smaller than the sum of its proper divisors (16740753969947).

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

11632356069376 is an frugal number, since it uses more digits than its factorization.

11632356069376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 58.

The spelling of 11632356069376 in words is "eleven trillion, six hundred thirty-two billion, three hundred fifty-six million, sixty-nine thousand, three hundred seventy-six".