144348480966816 has 240 divisors, whose sum is σ = 485291296163520. Its totient is φ = 41232221337600.

The previous prime is 144348480966787. The next prime is 144348480966827. The reversal of 144348480966816 is 618669084843441.

144348480966816 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 4 + 8 + 480 + 9 + 66 + 81 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72519400 + ... + 74483288.

It is an arithmetic number, because the mean of its divisors is an integer number (2022047067348).

Almost surely, 2^{144348480966816} is an apocalyptic number.

144348480966816 is a gapful number since it is divisible by the number (16) 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 144348480966816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242645648081760).

144348480966816 is an abundant number, since it is smaller than the sum of its proper divisors (340942815196704).

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

144348480966816 is a wasteful number, since it uses less digits than its factorization.

144348480966816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967969 (or 1967952 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 144348480966816 in words is "one hundred forty-four trillion, three hundred forty-eight billion, four hundred eighty million, nine hundred sixty-six thousand, eight hundred sixteen".