110957781408 has 96 divisors (see below), whose sum is σ = 307198785600. Its totient is φ = 34970167296.

The previous prime is 110957781379. The next prime is 110957781419. The reversal of 110957781408 is 804187759011.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868660 + ... + 988172.

It is an arithmetic number, because the mean of its divisors is an integer number (3199987350).

Almost surely, 2^110957781408 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 110957781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153599392800).

110957781408 is an abundant number, since it is smaller than the sum of its proper divisors (196241004192).

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

110957781408 is a wasteful number, since it uses less digits than its factorization.

110957781408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120054 (or 120046 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 51.

The spelling of 110957781408 in words is "one hundred ten billion, nine hundred fifty-seven million, seven hundred eighty-one thousand, four hundred eight".