144370848960 has 1344 divisors, whose sum is σ = 608381190144. Its totient is φ = 32248627200.

The previous prime is 144370848931. The next prime is 144370848983. The reversal of 144370848960 is 69848073441.

144370848960 is a `hidden beast` number, since 1 + 443 + 70 + 8 + 48 + 96 + 0 = 666.

It is a super-2 number, since 2×144370848960² (a number of 23 digits) contains 22 as substring.

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 = 144370848897 and 144370848906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 532733625 + ... + 532733895.

It is an arithmetic number, because the mean of its divisors is an integer number (452664576).

Almost surely, 2^144370848960 is an apocalyptic number.

144370848960 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 144370848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304190595072).

144370848960 is an abundant number, since it is smaller than the sum of its proper divisors (464010341184).

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

144370848960 is a wasteful number, since it uses less digits than its factorization.

144370848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 144370848960 in words is "one hundred forty-four billion, three hundred seventy million, eight hundred forty-eight thousand, nine hundred sixty".