110249427456 has 320 divisors, whose sum is σ = 375945461760. Its totient is φ = 31248322560.

The previous prime is 110249427437. The next prime is 110249427499. The reversal of 110249427456 is 654724942011.

110249427456 is a `hidden beast` number, since 1 + 102 + 4 + 94 + 2 + 7 + 456 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12285051 + ... + 12294021.

It is an arithmetic number, because the mean of its divisors is an integer number (1174829568).

Almost surely, 2^110249427456 is an apocalyptic number.

110249427456 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 110249427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187972730880).

110249427456 is an abundant number, since it is smaller than the sum of its proper divisors (265696034304).

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

110249427456 is an equidigital number, since it uses as much as digits as its factorization.

110249427456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9132 (or 9110 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 110249427456 in words is "one hundred ten billion, two hundred forty-nine million, four hundred twenty-seven thousand, four hundred fifty-six".