144316494336 has 320 divisors, whose sum is σ = 452153560320. Its totient is φ = 40045117440.

The previous prime is 144316494277. The next prime is 144316494337. The reversal of 144316494336 is 633494613441.

It is a super-4 number, since 4×144316494336⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (144316494337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118583200 + ... + 118584416.

It is an arithmetic number, because the mean of its divisors is an integer number (1412979876).

Almost surely, 2^144316494336 is an apocalyptic number.

144316494336 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 144316494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226076780160).

144316494336 is an abundant number, since it is smaller than the sum of its proper divisors (307837065984).

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

144316494336 is a wasteful number, since it uses less digits than its factorization.

144316494336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1539 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 48.

The spelling of 144316494336 in words is "one hundred forty-four billion, three hundred sixteen million, four hundred ninety-four thousand, three hundred thirty-six".