11163561614016 has 224 divisors, whose sum is σ = 33994214277120. Its totient is φ = 3167144064000.

The previous prime is 11163561613933. The next prime is 11163561614017. The reversal of 11163561614016 is 61041616536111.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11163561614017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551794621 + ... + 551814851.

Almost surely, 2^{11163561614016} is an apocalyptic number.

11163561614016 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 11163561614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997107138560).

11163561614016 is an abundant number, since it is smaller than the sum of its proper divisors (22830652663104).

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

11163561614016 is a wasteful number, since it uses less digits than its factorization.

11163561614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23123 (or 23113 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

It can be divided in two parts, 1116356 and 1614016, that added together give a palindrome (2730372).

The spelling of 11163561614016 in words is "eleven trillion, one hundred sixty-three billion, five hundred sixty-one million, six hundred fourteen thousand, sixteen".