144798312960 has 960 divisors, whose sum is σ = 621126316800. Its totient is φ = 31317000192.

The previous prime is 144798312931. The next prime is 144798313001. The reversal of 144798312960 is 69213897441.

144798312960 is a `hidden beast` number, since 1 + 4 + 479 + 83 + 1 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 144798312897 and 144798312906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174665826 + ... + 174666654.

It is an arithmetic number, because the mean of its divisors is an integer number (647006580).

Almost surely, 2^144798312960 is an apocalyptic number.

144798312960 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 144798312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310563158400).

144798312960 is an abundant number, since it is smaller than the sum of its proper divisors (476328003840).

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

144798312960 is an equidigital number, since it uses as much as digits as its factorization.

144798312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 144798312960 in words is "one hundred forty-four billion, seven hundred ninety-eight million, three hundred twelve thousand, nine hundred sixty".