1648356864 has 360 divisors, whose sum is σ = 5645904264. Its totient is φ = 425779200.

The previous prime is 1648356859. The next prime is 1648356889. The reversal of 1648356864 is 4686538461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9106854 + ... + 9107034.

Almost surely, 2^1648356864 is an apocalyptic number.

1648356864 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 1648356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822952132).

1648356864 is an abundant number, since it is smaller than the sum of its proper divisors (3997547400).

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

1648356864 is a wasteful number, since it uses less digits than its factorization.

1648356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 204 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 1648356864 is about 40599.9613792920. The cubic root of 1648356864 is about 1181.2733701824.

The spelling of 1648356864 in words is "one billion, six hundred forty-eight million, three hundred fifty-six thousand, eight hundred sixty-four".