144641341600 has 288 divisors, whose sum is σ = 414686708352. Its totient is φ = 48230400000.

The previous prime is 144641341597. The next prime is 144641341631. The reversal of 144641341600 is 6143146441.

It is a super-2 number, since 2×144641341600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 92068815 + ... + 92070385.

It is an arithmetic number, because the mean of its divisors is an integer number (1439884404).

Almost surely, 2^144641341600 is an apocalyptic number.

144641341600 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 144641341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207343354176).

144641341600 is an abundant number, since it is smaller than the sum of its proper divisors (270045366752).

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

144641341600 is a wasteful number, since it uses less digits than its factorization.

144641341600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 144641341600 in words is "one hundred forty-four billion, six hundred forty-one million, three hundred forty-one thousand, six hundred".