110856400512 has 512 divisors, whose sum is σ = 369212256000. Its totient is φ = 28952494080.

The previous prime is 110856400451. The next prime is 110856400513. The reversal of 110856400512 is 215004658011.

110856400512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (110856400513) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 139091698 + ... + 139092494.

Almost surely, 2^110856400512 is an apocalyptic number.

110856400512 is a gapful number since it is divisible by the number (12) 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 110856400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184606128000).

110856400512 is an abundant number, since it is smaller than the sum of its proper divisors (258355855488).

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

110856400512 is a wasteful number, since it uses less digits than its factorization.

110856400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 110856400512 in words is "one hundred ten billion, eight hundred fifty-six million, four hundred thousand, five hundred twelve".