144729250848 has 1536 divisors, whose sum is σ = 597445632000. Its totient is φ = 32965263360.

The previous prime is 144729250837. The next prime is 144729250849. The reversal of 144729250848 is 848052927441.

144729250848 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 2 + 92 + 508 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 144729250794 and 144729250803.

It is not an unprimeable number, because it can be changed into a prime (144729250849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1041217563 + ... + 1041217701.

It is an arithmetic number, because the mean of its divisors is an integer number (388962000).

Almost surely, 2^144729250848 is an apocalyptic number.

144729250848 is a gapful number since it is divisible by the number (18) 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 144729250848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298722816000).

144729250848 is an abundant number, since it is smaller than the sum of its proper divisors (452716381152).

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

144729250848 is a wasteful number, since it uses less digits than its factorization.

144729250848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 144729250848 in words is "one hundred forty-four billion, seven hundred twenty-nine million, two hundred fifty thousand, eight hundred forty-eight".