144365217643008 has 480 divisors, whose sum is σ = 455357304642240. Its totient is φ = 45535181045760.

The previous prime is 144365217642973. The next prime is 144365217643019. The reversal of 144365217643008 is 800346712563441.

144365217643008 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 6 + 521 + 76 + 43 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×144365217643008² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2025830098 + ... + 2025901358.

It is an arithmetic number, because the mean of its divisors is an integer number (948661051338).

Almost surely, 2^{144365217643008} is an apocalyptic number.

144365217643008 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 144365217643008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227678652321120).

144365217643008 is an abundant number, since it is smaller than the sum of its proper divisors (310992086999232).

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

144365217643008 is an frugal number, since it uses more digits than its factorization.

144365217643008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72170 (or 72142 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 144365217643008 in words is "one hundred forty-four trillion, three hundred sixty-five billion, two hundred seventeen million, six hundred forty-three thousand, eight".