144173075904 has 1344 divisors, whose sum is σ = 544836096000. Its totient is φ = 37042790400.

The previous prime is 144173075881. The next prime is 144173075909. The reversal of 144173075904 is 409570371441.

It is a happy number.

144173075904 is a `hidden beast` number, since 1 + 44 + 17 + 3 + 0 + 7 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144173075904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144173075909) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2443611427 + ... + 2443611485.

It is an arithmetic number, because the mean of its divisors is an integer number (405384000).

Almost surely, 2^144173075904 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 144173075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272418048000).

144173075904 is an abundant number, since it is smaller than the sum of its proper divisors (400663020096).

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

144173075904 is a wasteful number, since it uses less digits than its factorization.

144173075904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 144173075904 in words is "one hundred forty-four billion, one hundred seventy-three million, seventy-five thousand, nine hundred four".