4493123712 has 384 divisors, whose sum is σ = 16567574400. Its totient is φ = 1135503360.

The previous prime is 4493123633. The next prime is 4493123717. The reversal of 4493123712 is 2173213944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4493123717) 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 47 ways as a sum of consecutive naturals, for example, 121435758 + ... + 121435794.

It is an arithmetic number, because the mean of its divisors is an integer number (43144725).

Almost surely, 2^4493123712 is an apocalyptic number.

4493123712 is a gapful number since it is divisible by the number (42) 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 4493123712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283787200).

4493123712 is an abundant number, since it is smaller than the sum of its proper divisors (12074450688).

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

4493123712 is an equidigital number, since it uses as much as digits as its factorization.

4493123712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 60 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4493123712 is about 67030.7669059515. The cubic root of 4493123712 is about 1650.1222697271.

The spelling of 4493123712 in words is "four billion, four hundred ninety-three million, one hundred twenty-three thousand, seven hundred twelve".