11096162216064 has 384 divisors, whose sum is σ = 32783567431680. Its totient is φ = 3601255956480.

The previous prime is 11096162216047. The next prime is 11096162216081. The reversal of 11096162216064 is 46061226169011.

11096162216064 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 6 + 1 + 622 + 16 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11096162216047) and next prime (11096162216081).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4881724432 + ... + 4881726704.

It is an arithmetic number, because the mean of its divisors is an integer number (85373873520).

Almost surely, 2^{11096162216064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11096162216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391783715840).

11096162216064 is an abundant number, since it is smaller than the sum of its proper divisors (21687405215616).

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

11096162216064 is a wasteful number, since it uses less digits than its factorization.

11096162216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3028 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11096162216064 in words is "eleven trillion, ninety-six billion, one hundred sixty-two million, two hundred sixteen thousand, sixty-four".