1649523456 has 324 divisors, whose sum is σ = 5831225400. Its totient is φ = 445906944.

The previous prime is 1649523443. The next prime is 1649523457. The reversal of 1649523456 is 6543259461.

Its product of digits (777600) is a multiple of the sum of its prime divisors (800).

It is not an unprimeable number, because it can be changed into a prime (1649523457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2144640 + ... + 2145408.

Almost surely, 2^1649523456 is an apocalyptic number.

1649523456 is a gapful number since it is divisible by the number (16) 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 1649523456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915612700).

1649523456 is an abundant number, since it is smaller than the sum of its proper divisors (4181701944).

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

1649523456 is a wasteful number, since it uses less digits than its factorization.

1649523456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 800 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 1649523456 is about 40614.3257484351. The cubic root of 1649523456 is about 1181.5519787616.

The spelling of 1649523456 in words is "one billion, six hundred forty-nine million, five hundred twenty-three thousand, four hundred fifty-six".