144616083612 has 384 divisors, whose sum is σ = 460615680000. Its totient is φ = 34100352000.

The previous prime is 144616083611. The next prime is 144616083643. The reversal of 144616083612 is 216380616441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144616083611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241428889 + ... + 241429487.

It is an arithmetic number, because the mean of its divisors is an integer number (1199520000).

Almost surely, 2^144616083612 is an apocalyptic number.

144616083612 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 144616083612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230307840000).

144616083612 is an abundant number, since it is smaller than the sum of its proper divisors (315999596388).

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

144616083612 is a wasteful number, since it uses less digits than its factorization.

144616083612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 144616083612 in words is "one hundred forty-four billion, six hundred sixteen million, eighty-three thousand, six hundred twelve".