144311214133032 has 256 divisors, whose sum is σ = 379983744000000. Its totient is φ = 45610289657856.

The previous prime is 144311214133013. The next prime is 144311214133039. The reversal of 144311214133032 is 230331412113441.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 144311214132984 and 144311214133002.

It is not an unprimeable number, because it can be changed into a prime (144311214133039) 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 63 ways as a sum of consecutive naturals, for example, 12978788769 + ... + 12978799887.

It is an arithmetic number, because the mean of its divisors is an integer number (1484311500000).

Almost surely, 2^{144311214133032} is an apocalyptic number.

144311214133032 is a gapful number since it is divisible by the number (12) 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 144311214133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189991872000000).

144311214133032 is an abundant number, since it is smaller than the sum of its proper divisors (235672529866968).

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

144311214133032 is a wasteful number, since it uses less digits than its factorization.

144311214133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12568 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 144311214133032 its reverse (230331412113441), we get a palindrome (374642626246473).

The spelling of 144311214133032 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred fourteen million, one hundred thirty-three thousand, thirty-two".