144112170624 has 128 divisors (see below), whose sum is σ = 385930872000. Its totient is φ = 47645220864.

The previous prime is 144112170613. The next prime is 144112170637. The reversal of 144112170624 is 426071211441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51893524 + ... + 51896300.

Almost surely, 2^144112170624 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 144112170624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192965436000).

144112170624 is an abundant number, since it is smaller than the sum of its proper divisors (241818701376).

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

144112170624 is a wasteful number, since it uses less digits than its factorization.

144112170624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 144112170624 in words is "one hundred forty-four billion, one hundred twelve million, one hundred seventy thousand, six hundred twenty-four".