144729604096 has 256 divisors, whose sum is σ = 379998144000. Its totient is φ = 53402664960.

The previous prime is 144729604093. The next prime is 144729604147. The reversal of 144729604096 is 690406927441.

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (144729604093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47938075 + ... + 47941093.

It is an arithmetic number, because the mean of its divisors is an integer number (1484367750).

Almost surely, 2^144729604096 is an apocalyptic number.

144729604096 is a gapful number since it is divisible by the number (16) 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 144729604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189999072000).

144729604096 is an abundant number, since it is smaller than the sum of its proper divisors (235268539904).

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

144729604096 is an equidigital number, since it uses as much as digits as its factorization.

144729604096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 144729604096 in words is "one hundred forty-four billion, seven hundred twenty-nine million, six hundred four thousand, ninety-six".