144857873571840 has 1344 divisors, whose sum is σ = 593060464668672. Its totient is φ = 32243790643200.

The previous prime is 144857873571793. The next prime is 144857873571883. The reversal of 144857873571840 is 48175378758441.

144857873571840 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 5 + 7 + 8 + 7 + 3 + 571 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10068657127 + ... + 10068671513.

It is an arithmetic number, because the mean of its divisors is an integer number (441265226688).

Almost surely, 2^{144857873571840} is an apocalyptic number.

144857873571840 is a gapful number since it is divisible by the number (10) 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 144857873571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296530232334336).

144857873571840 is an abundant number, since it is smaller than the sum of its proper divisors (448202591096832).

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

144857873571840 is a wasteful number, since it uses less digits than its factorization.

144857873571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14639 (or 14612 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 72.

The spelling of 144857873571840 in words is "one hundred forty-four trillion, eight hundred fifty-seven billion, eight hundred seventy-three million, five hundred seventy-one thousand, eight hundred forty".