144850083840 has 1512 divisors, whose sum is σ = 661667822712. Its totient is φ = 30098718720.

The previous prime is 144850083827. The next prime is 144850083869. The reversal of 144850083840 is 48380058441.

144850083840 is a `hidden beast` number, since 1 + 448 + 50 + 0 + 83 + 84 + 0 = 666.

144850083840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13168189435 + ... + 13168189445.

Almost surely, 2^144850083840 is an apocalyptic number.

144850083840 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 144850083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330833911356).

144850083840 is an abundant number, since it is smaller than the sum of its proper divisors (516817738872).

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

144850083840 is an frugal number, since it uses more digits than its factorization.

144850083840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 144850083840 in words is "one hundred forty-four billion, eight hundred fifty million, eighty-three thousand, eight hundred forty".