144110113032320 has 128 divisors (see below), whose sum is σ = 347310347028480. Its totient is φ = 57176456396800.

The previous prime is 144110113032299. The next prime is 144110113032331. The reversal of 144110113032320 is 23230311011441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 144110113032320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174058049 + ... + 174884031.

It is an arithmetic number, because the mean of its divisors is an integer number (2713362086160).

Almost surely, 2^{144110113032320} is an apocalyptic number.

144110113032320 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 144110113032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173655173514240).

144110113032320 is an abundant number, since it is smaller than the sum of its proper divisors (203200233996160).

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

144110113032320 is a wasteful number, since it uses less digits than its factorization.

144110113032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828214 (or 828202 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 144110113032320 its reverse (23230311011441), we get a palindrome (167340424043761).

The spelling of 144110113032320 in words is "one hundred forty-four trillion, one hundred ten billion, one hundred thirteen million, thirty-two thousand, three hundred twenty".