1991484144 has 360 divisors, whose sum is σ = 6588547056. Its totient is φ = 578534400.

The previous prime is 1991484119. The next prime is 1991484149. The reversal of 1991484144 is 4414841991.

1991484144 = 187³ + 188³ + ... + 309³.

It is a happy number.

1991484144 is a `hidden beast` number, since 1 + 99 + 148 + 414 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1991484144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1991484149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48572764 + ... + 48572804.

Almost surely, 2^1991484144 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 1991484144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294273528).

1991484144 is an abundant number, since it is smaller than the sum of its proper divisors (4597062912).

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

1991484144 is a wasteful number, since it uses less digits than its factorization.

1991484144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 90 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1991484144 is about 44626.0478196311. The cubic root of 1991484144 is about 1258.1302881346.

The spelling of 1991484144 in words is "one billion, nine hundred ninety-one million, four hundred eighty-four thousand, one hundred forty-four".