110656000000 has 728 divisors, whose sum is σ = 358351663040. Its totient is φ = 33177600000.

The previous prime is 110655999983. The next prime is 110656000003. The reversal of 110656000000 is 656011.

It is a tau number, because it is divible by the number of its divisors (728).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 110656000000 = 400³ + 4800³ = 3600³ + 4000³.

It is not an unprimeable number, because it can be changed into a prime (110656000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5823999991 + ... + 5824000009.

Almost surely, 2^110656000000 is an apocalyptic number.

110656000000 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 110656000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179175831520).

110656000000 is an abundant number, since it is smaller than the sum of its proper divisors (247695663040).

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

110656000000 is an frugal number, since it uses more digits than its factorization.

110656000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 110656000000 its reverse (656011), we get a palindrome (110656656011).

The spelling of 110656000000 in words is "one hundred ten billion, six hundred fifty-six million", and thus it is an aban number.