144445890363840 has 168 divisors, whose sum is σ = 535051652361408. Its totient is φ = 35555911464960.

The previous prime is 144445890363793. The next prime is 144445890363847. The reversal of 144445890363840 is 48363098544441.

144445890363840 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 589 + 0 + 3 + 6 + 3 + 8 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144445890363847) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1928994216 + ... + 1929069095.

It is an arithmetic number, because the mean of its divisors is an integer number (3184831264056).

Almost surely, 2^{144445890363840} is an apocalyptic number.

144445890363840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144445890363840 is an abundant number, since it is smaller than the sum of its proper divisors (390605761997568).

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

144445890363840 is a wasteful number, since it uses less digits than its factorization.

144445890363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858063347 (or 3858063334 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 144445890363840 in words is "one hundred forty-four trillion, four hundred forty-five billion, eight hundred ninety million, three hundred sixty-three thousand, eight hundred forty".