11116498968 has 320 divisors, whose sum is σ = 34126297920. Its totient is φ = 3367526400.

The previous prime is 11116498949. The next prime is 11116498969. The reversal of 11116498968 is 86989461111.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11116498969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47710180 + ... + 47710412.

It is an arithmetic number, because the mean of its divisors is an integer number (106644681).

Almost surely, 2^11116498968 is an apocalyptic number.

11116498968 is a gapful number since it is divisible by the number (18) 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 11116498968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063148960).

11116498968 is an abundant number, since it is smaller than the sum of its proper divisors (23009798952).

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

11116498968 is a wasteful number, since it uses less digits than its factorization.

11116498968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its digits is 746496, while the sum is 54.

The spelling of 11116498968 in words is "eleven billion, one hundred sixteen million, four hundred ninety-eight thousand, nine hundred sixty-eight".