110449680000 has 1280 divisors, whose sum is σ = 446005232640. Its totient is φ = 23879680000.

The previous prime is 110449679999. The next prime is 110449680013. The reversal of 110449680000 is 86944011.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 159 ways as a sum of consecutive naturals, for example, 1032239947 + ... + 1032240053.

It is an arithmetic number, because the mean of its divisors is an integer number (348441588).

Almost surely, 2^110449680000 is an apocalyptic number.

110449680000 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 110449680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223002616320).

110449680000 is an abundant number, since it is smaller than the sum of its proper divisors (335555552640).

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

110449680000 is a wasteful number, since it uses less digits than its factorization.

110449680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 110449680000 in words is "one hundred ten billion, four hundred forty-nine million, six hundred eighty thousand".