144575383680 has 1280 divisors, whose sum is σ = 669311596800. Its totient is φ = 28880437248.

The previous prime is 144575383663. The next prime is 144575383691. The reversal of 144575383680 is 86383575441.

144575383680 is a `hidden beast` number, since 1 + 4 + 4 + 575 + 3 + 8 + 3 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89630554 + ... + 89632166.

It is an arithmetic number, because the mean of its divisors is an integer number (522899685).

Almost surely, 2^144575383680 is an apocalyptic number.

144575383680 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 144575383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334655798400).

144575383680 is an abundant number, since it is smaller than the sum of its proper divisors (524736213120).

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

144575383680 is a wasteful number, since it uses less digits than its factorization.

144575383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 144575383680 in words is "one hundred forty-four billion, five hundred seventy-five million, three hundred eighty-three thousand, six hundred eighty".