1649144448 has 320 divisors, whose sum is σ = 5797777920. Its totient is φ = 455362560.

The previous prime is 1649144447. The next prime is 1649144473. The reversal of 1649144448 is 8444419461.

It is a happy number.

1649144448 is a `hidden beast` number, since 1 + 64 + 9 + 144 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649144447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2249490 + ... + 2250222.

It is an arithmetic number, because the mean of its divisors is an integer number (18118056).

Almost surely, 2^1649144448 is an apocalyptic number.

1649144448 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 1649144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898888960).

1649144448 is an abundant number, since it is smaller than the sum of its proper divisors (4148633472).

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

1649144448 is an equidigital number, since it uses as much as digits as its factorization.

1649144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 776 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1649144448 is about 40609.6595405576. The cubic root of 1649144448 is about 1181.4614774811.

The spelling of 1649144448 in words is "one billion, six hundred forty-nine million, one hundred forty-four thousand, four hundred forty-eight".