144342375195648 has 352 divisors, whose sum is σ = 444311208352000. Its totient is φ = 40807842840576.

The previous prime is 144342375195593. The next prime is 144342375195829. The reversal of 144342375195648 is 846591573243441.

It is a happy number.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774318878 + ... + 1774400226.

It is an arithmetic number, because the mean of its divisors is an integer number (1262247751000).

Almost surely, 2^{144342375195648} 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 144342375195648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222155604176000).

144342375195648 is an abundant number, since it is smaller than the sum of its proper divisors (299968833156352).

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

144342375195648 is a wasteful number, since it uses less digits than its factorization.

144342375195648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82245 (or 82227 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 66.

The spelling of 144342375195648 in words is "one hundred forty-four trillion, three hundred forty-two billion, three hundred seventy-five million, one hundred ninety-five thousand, six hundred forty-eight".