144824744064 has 1024 divisors, whose sum is σ = 562609152000. Its totient is φ = 31744327680.

The previous prime is 144824744063. The next prime is 144824744083. The reversal of 144824744064 is 460447428441.

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 (144824744063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241777237 + ... + 241777835.

It is an arithmetic number, because the mean of its divisors is an integer number (549423000).

Almost surely, 2^144824744064 is an apocalyptic number.

144824744064 is a gapful number since it is divisible by the number (14) 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 144824744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281304576000).

144824744064 is an abundant number, since it is smaller than the sum of its proper divisors (417784407936).

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

144824744064 is a wasteful number, since it uses less digits than its factorization.

144824744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 48.

It can be divided in two parts, 144824 and 744064, that added together give a palindrome (888888).

The spelling of 144824744064 in words is "one hundred forty-four billion, eight hundred twenty-four million, seven hundred forty-four thousand, sixty-four".