11896263217216 has 189 divisors, whose sum is σ = 29179208563869. Its totient is φ = 4797168273408.

The previous prime is 11896263217177. The next prime is 11896263217247. The reversal of 11896263217216 is 61271236269811.

The square root of 11896263217216 is 3449096.

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

It can be written as a sum of positive squares in only one way, i.e., 9261796622400 + 2634466594816 = 3043320^2 + 1623104^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3283537581 + ... + 3283541203.

Almost surely, 2^{11896263217216} is an apocalyptic number.

11896263217216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11896263217216 is the 3449096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11896263217216

11896263217216 is an abundant number, since it is smaller than the sum of its proper divisors (17282945346653).

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

11896263217216 is an frugal number, since it uses more digits than its factorization.

11896263217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306 (or 3649 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 55.

The spelling of 11896263217216 in words is "eleven trillion, eight hundred ninety-six billion, two hundred sixty-three million, two hundred seventeen thousand, two hundred sixteen".