144495912960 has 960 divisors, whose sum is σ = 607342095360. Its totient is φ = 32169000960.

The previous prime is 144495912949. The next prime is 144495912971. The reversal of 144495912960 is 69219594441.

144495912960 is a `hidden beast` number, since 1 + 4 + 4 + 49 + 591 + 2 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144495912949) and next prime (144495912971).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 144495912897 and 144495912906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 238048977 + ... + 238049583.

It is an arithmetic number, because the mean of its divisors is an integer number (632648016).

Almost surely, 2^144495912960 is an apocalyptic number.

144495912960 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 144495912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303671047680).

144495912960 is an abundant number, since it is smaller than the sum of its proper divisors (462846182400).

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

144495912960 is an equidigital number, since it uses as much as digits as its factorization.

144495912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 144495912960 in words is "one hundred forty-four billion, four hundred ninety-five million, nine hundred twelve thousand, nine hundred sixty".