144969596928 has 192 divisors, whose sum is σ = 451021569180. Its totient is φ = 44604850176.

The previous prime is 144969596927. The next prime is 144969596969. The reversal of 144969596928 is 829695969441.

144969596928 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 6 + 9 + 596 + 9 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100849434624 + 44120162304 = 317568^2 + 210048^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (144969596927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3814950 + ... + 3852762.

Almost surely, 2^144969596928 is an apocalyptic number.

144969596928 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 144969596928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225510784590).

144969596928 is an abundant number, since it is smaller than the sum of its proper divisors (306051972252).

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

144969596928 is an equidigital number, since it uses as much as digits as its factorization.

144969596928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37862 (or 37831 counting only the distinct ones).

The product of its digits is 302330880, while the sum is 72.

The spelling of 144969596928 in words is "one hundred forty-four billion, nine hundred sixty-nine million, five hundred ninety-six thousand, nine hundred twenty-eight".