1645883136 has 216 divisors, whose sum is σ = 4998193200. Its totient is φ = 520224768.

The previous prime is 1645883123. The next prime is 1645883143. The reversal of 1645883136 is 6313885461.

1645883136 is a `hidden beast` number, since 1 + 6 + 4 + 588 + 31 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1645883091 and 1645883100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3665440 + ... + 3665888.

Almost surely, 2^1645883136 is an apocalyptic number.

1645883136 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 1645883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499096600).

1645883136 is an abundant number, since it is smaller than the sum of its proper divisors (3352310064).

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

1645883136 is a wasteful number, since it uses less digits than its factorization.

1645883136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 534 counting only the distinct ones).

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

The square root of 1645883136 is about 40569.4852814280. The cubic root of 1645883136 is about 1180.6821527353.

The spelling of 1645883136 in words is "one billion, six hundred forty-five million, eight hundred eighty-three thousand, one hundred thirty-six".