144943258500 has 216 divisors, whose sum is σ = 461107175256. Its totient is φ = 38327990400.

The previous prime is 144943258463. The next prime is 144943258501. The reversal of 144943258500 is 5852349441.

144943258500 is a `hidden beast` number, since 1 + 4 + 4 + 94 + 3 + 2 + 58 + 500 = 666.

144943258500 is digitally balanced in base 2, 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 4 ways, for example, as 36581152644 + 108362105856 = 191262^2 + 329184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (144943258501) 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 71 ways as a sum of consecutive naturals, for example, 72579502 + ... + 72581498.

It is an arithmetic number, because the mean of its divisors is an integer number (2134755441).

Almost surely, 2^144943258500 is an apocalyptic number.

144943258500 is a gapful number since it is divisible by the number (10) 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 144943258500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230553587628).

144943258500 is an abundant number, since it is smaller than the sum of its proper divisors (316163916756).

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

144943258500 is a wasteful number, since it uses less digits than its factorization.

144943258500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 144943258500 in words is "one hundred forty-four billion, nine hundred forty-three million, two hundred fifty-eight thousand, five hundred".