990144144 has 120 divisors (see below), whose sum is σ = 3093453792. Its totient is φ = 293045760.

The previous prime is 990144143. The next prime is 990144149. The reversal of 990144144 is 441441099.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 990144099 and 990144108.

It is not an unprimeable number, because it can be changed into a prime (990144143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60844 + ... + 75380.

Almost surely, 2^990144144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546726896).

990144144 is an abundant number, since it is smaller than the sum of its proper divisors (2103309648).

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

990144144 is a wasteful number, since it uses less digits than its factorization.

990144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14605 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 990144144 is about 31466.5559602572. Note that the first 3 decimals coincide. The cubic root of 990144144 is about 996.7038620785.

It can be divided in two parts, 9901 and 44144, that added together give a palindrome (54045).

The spelling of 990144144 in words is "nine hundred ninety million, one hundred forty-four thousand, one hundred forty-four".