144084749453568 has 2304 divisors, whose sum is σ = 558312599470080. Its totient is φ = 36018491719680.

The previous prime is 144084749453521. The next prime is 144084749453597. The reversal of 144084749453568 is 865354947480441.

144084749453568 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 8 + 4 + 7 + 4 + 9 + 4 + 53 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 144084749453496 and 144084749453505.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 164292758346 + ... + 164292759222.

Almost surely, 2^{144084749453568} is an apocalyptic number.

144084749453568 is a gapful number since it is divisible by the number (18) 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 144084749453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279156299735040).

144084749453568 is an abundant number, since it is smaller than the sum of its proper divisors (414227850016512).

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

144084749453568 is an equidigital number, since it uses as much as digits as its factorization.

144084749453568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 144084749453568 in words is "one hundred forty-four trillion, eighty-four billion, seven hundred forty-nine million, four hundred fifty-three thousand, five hundred sixty-eight".