11121991518456 has 432 divisors, whose sum is σ = 38678418487800. Its totient is φ = 2861709419520.

The previous prime is 11121991518427. The next prime is 11121991518457. The reversal of 11121991518456 is 65481519912111.

It is a happy number.

11121991518456 is a `hidden beast` number, since 1 + 11 + 21 + 9 + 9 + 151 + 8 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121991518457) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 77025255 + ... + 77169513.

Almost surely, 2^{11121991518456} 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 11121991518456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339209243900).

11121991518456 is an abundant number, since it is smaller than the sum of its proper divisors (27556426969344).

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

11121991518456 is a wasteful number, since it uses less digits than its factorization.

11121991518456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144380 (or 144325 counting only the distinct ones).

The product of its digits is 777600, while the sum is 54.

The spelling of 11121991518456 in words is "eleven trillion, one hundred twenty-one billion, nine hundred ninety-one million, five hundred eighteen thousand, four hundred fifty-six".