11298350097216 has 448 divisors, whose sum is σ = 43284790402560. Its totient is φ = 2804502528000.

The previous prime is 11298350097161. The next prime is 11298350097239. The reversal of 11298350097216 is 61279005389211.

It is a happy number.

11298350097216 is a `hidden beast` number, since 1 + 1 + 29 + 8 + 3 + 500 + 97 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 559966 + ... + 4786466.

It is an arithmetic number, because the mean of its divisors is an integer number (96617835720).

Almost surely, 2^{11298350097216} is an apocalyptic number.

11298350097216 is a gapful number since it is divisible by the number (16) 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 11298350097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21642395201280).

11298350097216 is an abundant number, since it is smaller than the sum of its proper divisors (31986440305344).

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

11298350097216 is a wasteful number, since it uses less digits than its factorization.

11298350097216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226559 (or 4226543 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 11298350097216 in words is "eleven trillion, two hundred ninety-eight billion, three hundred fifty million, ninety-seven thousand, two hundred sixteen".