1649052864 has 112 divisors (see below), whose sum is σ = 5103164800. Its totient is φ = 520743168.

The previous prime is 1649052851. The next prime is 1649052871. The reversal of 1649052864 is 4682509461.

1649052864 is a `hidden beast` number, since 1 + 64 + 9 + 0 + 528 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7719 + ... + 57945.

Almost surely, 2^1649052864 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 1649052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551582400).

1649052864 is an abundant number, since it is smaller than the sum of its proper divisors (3454111936).

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

1649052864 is a wasteful number, since it uses less digits than its factorization.

1649052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50267 (or 50251 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1649052864 is about 40608.5319114099. The cubic root of 1649052864 is about 1181.4396065506.

The spelling of 1649052864 in words is "one billion, six hundred forty-nine million, fifty-two thousand, eight hundred sixty-four".