110991411648 has 224 divisors, whose sum is σ = 352545822720. Its totient is φ = 34039249920.

The previous prime is 110991411631. The next prime is 110991411697. The reversal of 110991411648 is 846114199011.

110991411648 is a `hidden beast` number, since 1 + 109 + 91 + 411 + 6 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6978361 + ... + 6994247.

It is an arithmetic number, because the mean of its divisors is an integer number (1573865280).

Almost surely, 2^110991411648 is an apocalyptic number.

110991411648 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 110991411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176272911360).

110991411648 is an abundant number, since it is smaller than the sum of its proper divisors (241554411072).

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

110991411648 is a wasteful number, since it uses less digits than its factorization.

110991411648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16232 (or 16216 counting only the distinct ones).

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

The spelling of 110991411648 in words is "one hundred ten billion, nine hundred ninety-one million, four hundred eleven thousand, six hundred forty-eight".