144800472960 has 1536 divisors, whose sum is σ = 646704414720. Its totient is φ = 30417223680.

The previous prime is 144800472959. The next prime is 144800473001. The reversal of 144800472960 is 69274008441.

144800472960 is a `hidden beast` number, since 1 + 44 + 80 + 0 + 472 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 378068929 + ... + 378069311.

It is an arithmetic number, because the mean of its divisors is an integer number (421031520).

Almost surely, 2^144800472960 is an apocalyptic number.

144800472960 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 144800472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323352207360).

144800472960 is an abundant number, since it is smaller than the sum of its proper divisors (501903941760).

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

144800472960 is a wasteful number, since it uses less digits than its factorization.

144800472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 144800472960 in words is "one hundred forty-four billion, eight hundred million, four hundred seventy-two thousand, nine hundred sixty".