11216345285376 has 648 divisors, whose sum is σ = 41078332386000. Its totient is φ = 2910569840640.

The previous prime is 11216345285371. The next prime is 11216345285399. The reversal of 11216345285376 is 67358254361211.

It is a happy number.

11216345285376 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 63 + 4 + 528 + 53 + 7 + 6 = 666.

It is a super-2 number, since 2×11216345285376² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11216345285371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1526237350 + ... + 1526244698.

It is an arithmetic number, because the mean of its divisors is an integer number (63392488250).

Almost surely, 2^{11216345285376} is an apocalyptic number.

11216345285376 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 11216345285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20539166193000).

11216345285376 is an abundant number, since it is smaller than the sum of its proper divisors (29861987100624).

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

11216345285376 is a wasteful number, since it uses less digits than its factorization.

11216345285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8625 (or 8601 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 11216345285376 in words is "eleven trillion, two hundred sixteen billion, three hundred forty-five million, two hundred eighty-five thousand, three hundred seventy-six".