144000350304 has 96 divisors (see below), whose sum is σ = 381068110080. Its totient is φ = 47611584000.

The previous prime is 144000350303. The next prime is 144000350353. The reversal of 144000350304 is 403053000441.

144000350304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144000350304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144000350303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10270659 + ... + 10284669.

It is an arithmetic number, because the mean of its divisors is an integer number (3969459480).

Almost surely, 2^144000350304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144000350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190534055040).

144000350304 is an abundant number, since it is smaller than the sum of its proper divisors (237067759776).

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

144000350304 is a wasteful number, since it uses less digits than its factorization.

144000350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14884 (or 14876 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 144000350304 its reverse (403053000441), we get a palindrome (547053350745).

The spelling of 144000350304 in words is "one hundred forty-four billion, three hundred fifty thousand, three hundred four".