110340348768 has 360 divisors, whose sum is σ = 352914956856. Its totient is φ = 33803827200.

The previous prime is 110340348761. The next prime is 110340348773. The reversal of 110340348768 is 867843043011.

110340348768 is a `hidden beast` number, since 1 + 103 + 4 + 0 + 3 + 487 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110340348761) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 144993508 + ... + 144994268.

Almost surely, 2^110340348768 is an apocalyptic number.

110340348768 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 110340348768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176457478428).

110340348768 is an abundant number, since it is smaller than the sum of its proper divisors (242574608088).

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

110340348768 is a wasteful number, since it uses less digits than its factorization.

110340348768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 110340348768 in words is "one hundred ten billion, three hundred forty million, three hundred forty-eight thousand, seven hundred sixty-eight".