110685387456 has 336 divisors, whose sum is σ = 366386961408. Its totient is φ = 31294771200.

The previous prime is 110685387443. The next prime is 110685387457. The reversal of 110685387456 is 654783586011.

It is a happy number.

110685387456 is a `hidden beast` number, since 1 + 1 + 0 + 68 + 53 + 87 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (110685387457) 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 47 ways as a sum of consecutive naturals, for example, 239061081 + ... + 239061543.

Almost surely, 2^110685387456 is an apocalyptic number.

110685387456 is a gapful number since it is divisible by the number (16) 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 110685387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183193480704).

110685387456 is an abundant number, since it is smaller than the sum of its proper divisors (255701573952).

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

110685387456 is a wasteful number, since it uses less digits than its factorization.

110685387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 110685387456 in words is "one hundred ten billion, six hundred eighty-five million, three hundred eighty-seven thousand, four hundred fifty-six".