144985397760 has 480 divisors, whose sum is σ = 575190899712. Its totient is φ = 33062584320.

The previous prime is 144985397749. The next prime is 144985397773. The reversal of 144985397760 is 67793589441.

144985397760 is a `hidden beast` number, since 1 + 4 + 4 + 98 + 539 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97896220 + ... + 97897700.

Almost surely, 2^144985397760 is an apocalyptic number.

144985397760 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 144985397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287595449856).

144985397760 is an abundant number, since it is smaller than the sum of its proper divisors (430205501952).

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

144985397760 is a wasteful number, since it uses less digits than its factorization.

144985397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 144985397760 in words is "one hundred forty-four billion, nine hundred eighty-five million, three hundred ninety-seven thousand, seven hundred sixty".