110705368480 has 96 divisors (see below), whose sum is σ = 300041812224. Its totient is φ = 37811705856.

The previous prime is 110705368463. The next prime is 110705368559. The reversal of 110705368480 is 84863507011.

It is a super-2 number, since 2×110705368480² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106644 + ... + 482476.

It is an arithmetic number, because the mean of its divisors is an integer number (3125435544).

Almost surely, 2^110705368480 is an apocalyptic number.

110705368480 is a gapful number since it is divisible by the number (10) 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 110705368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150020906112).

110705368480 is an abundant number, since it is smaller than the sum of its proper divisors (189336443744).

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

110705368480 is a wasteful number, since it uses less digits than its factorization.

110705368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376118 (or 376110 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 110705368480 in words is "one hundred ten billion, seven hundred five million, three hundred sixty-eight thousand, four hundred eighty".