144796416 has 72 divisors (see below), whose sum is σ = 405693120. Its totient is φ = 45720576.

The previous prime is 144796411. The next prime is 144796423. The reversal of 144796416 is 614697441.

It is not an unprimeable number, because it can be changed into a prime (144796411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9631 + ... + 19553.

Almost surely, 2^144796416 is an apocalyptic number.

144796416 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 144796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202846560).

144796416 is an abundant number, since it is smaller than the sum of its proper divisors (260896704).

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

144796416 is an equidigital number, since it uses as much as digits as its factorization.

144796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961 (or 9947 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 144796416 is about 12033.1382440326. The cubic root of 144796416 is about 525.1127993454.

The spelling of 144796416 in words is "one hundred forty-four million, seven hundred ninety-six thousand, four hundred sixteen".