1649122944 has 256 divisors, whose sum is σ = 5358182400. Its totient is φ = 438681600.

The previous prime is 1649122939. The next prime is 1649122963. The reversal of 1649122944 is 4492219461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1649122896 and 1649122905.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6899977 + ... + 6900215.

It is an arithmetic number, because the mean of its divisors is an integer number (20930400).

Almost surely, 2^1649122944 is an apocalyptic number.

1649122944 is a gapful number since it is divisible by the number (14) 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 1649122944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679091200).

1649122944 is an abundant number, since it is smaller than the sum of its proper divisors (3709059456).

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

1649122944 is a wasteful number, since it uses less digits than its factorization.

1649122944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1649122944 is about 40609.3947751010. The cubic root of 1649122944 is about 1181.4563422411.

The spelling of 1649122944 in words is "one billion, six hundred forty-nine million, one hundred twenty-two thousand, nine hundred forty-four".