11111108993424 has 960 divisors, whose sum is σ = 38419638985728. Its totient is φ = 3070487347200.

The previous prime is 11111108993417. The next prime is 11111108993431. The reversal of 11111108993424 is 42439980111111.

11111108993424 is a `hidden beast` number, since 1 + 1 + 111 + 108 + 9 + 9 + 3 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (11111108993417) and next prime (11111108993431).

It is a self number, because there is not a number n which added to its sum of digits gives 11111108993424.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4095505092 + ... + 4095507804.

Almost surely, 2^{11111108993424} 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 11111108993424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209819492864).

11111108993424 is an abundant number, since it is smaller than the sum of its proper divisors (27308529992304).

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

11111108993424 is a wasteful number, since it uses less digits than its factorization.

11111108993424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 11111108993424 in words is "eleven trillion, one hundred eleven billion, one hundred eight million, nine hundred ninety-three thousand, four hundred twenty-four".