144461983640 has 128 divisors (see below), whose sum is σ = 356189702400. Its totient is φ = 52405125120.

The previous prime is 144461983637. The next prime is 144461983649. The reversal of 144461983640 is 46389164441.

144461983640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144461983649) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34985096 + ... + 34989224.

It is an arithmetic number, because the mean of its divisors is an integer number (2782732050).

Almost surely, 2^144461983640 is an apocalyptic number.

144461983640 is a gapful number since it is divisible by the number (10) 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 144461983640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178094851200).

144461983640 is an abundant number, since it is smaller than the sum of its proper divisors (211727718760).

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

144461983640 is a wasteful number, since it uses less digits than its factorization.

144461983640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5317 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 144461983640 in words is "one hundred forty-four billion, four hundred sixty-one million, nine hundred eighty-three thousand, six hundred forty".