11248672041216 has 135 divisors (see below), whose sum is σ = 33542944844563. Its totient is φ = 3749396359680.

The previous prime is 11248672041199. The next prime is 11248672041247. The reversal of 11248672041216 is 61214027684211.

The square root of 11248672041216 is 3353904.

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

11248672041216 is a `hidden beast` number, since 1 + 124 + 86 + 7 + 20 + 412 + 16 = 666.

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 482950531 + ... + 482973821.

Almost surely, 2^{11248672041216} is an apocalyptic number.

11248672041216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11248672041216 is the 3353904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11248672041216

11248672041216 is an abundant number, since it is smaller than the sum of its proper divisors (22294272803347).

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

11248672041216 is an frugal number, since it uses more digits than its factorization.

11248672041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46610 (or 23296 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11248672041216 in words is "eleven trillion, two hundred forty-eight billion, six hundred seventy-two million, forty-one thousand, two hundred sixteen".