1645083648 has 352 divisors, whose sum is σ = 5502336000. Its totient is φ = 481738752.

The previous prime is 1645083619. The next prime is 1645083691. The reversal of 1645083648 is 8463805461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8266653 + ... + 8266851.

Almost surely, 2^1645083648 is an apocalyptic number.

1645083648 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 1645083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751168000).

1645083648 is an abundant number, since it is smaller than the sum of its proper divisors (3857252352).

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

1645083648 is a wasteful number, since it uses less digits than its factorization.

1645083648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1645083648 is about 40559.6307675501. The cubic root of 1645083648 is about 1180.4909495907.

The spelling of 1645083648 in words is "one billion, six hundred forty-five million, eighty-three thousand, six hundred forty-eight".