144842481000 has 576 divisors, whose sum is σ = 580335846480. Its totient is φ = 32476953600.

The previous prime is 144842480977. The next prime is 144842481001. The reversal of 144842481000 is 184248441.

It can be written as a sum of positive squares in 8 ways, for example, as 8207272836 + 136635208164 = 90594^2 + 369642^2 .

It is a super-2 number, since 2×144842481000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144842481001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23369902 + ... + 23376098.

Almost surely, 2^144842481000 is an apocalyptic number.

144842481000 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 144842481000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290167923240).

144842481000 is an abundant number, since it is smaller than the sum of its proper divisors (435493365480).

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

144842481000 is a wasteful number, since it uses less digits than its factorization.

144842481000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 144842481000 in words is "one hundred forty-four billion, eight hundred forty-two million, four hundred eighty-one thousand".