144453437856 has 504 divisors, whose sum is σ = 534218864004. Its totient is φ = 38093690880.

The previous prime is 144453437851. The next prime is 144453437857. The reversal of 144453437856 is 658734354441.

144453437856 is a `hidden beast` number, since 14 + 44 + 534 + 3 + 7 + 8 + 56 = 666.

144453437856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 110146989456 + 34306448400 = 331884^2 + 185220^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (144453437851) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14855076 + ... + 14864796.

Almost surely, 2^144453437856 is an apocalyptic number.

144453437856 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 144453437856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267109432002).

144453437856 is an abundant number, since it is smaller than the sum of its proper divisors (389765426148).

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

144453437856 is an equidigital number, since it uses as much as digits as its factorization.

144453437856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9746 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 144453437856 in words is "one hundred forty-four billion, four hundred fifty-three million, four hundred thirty-seven thousand, eight hundred fifty-six".