1645041312 has 240 divisors, whose sum is σ = 5266273320. Its totient is φ = 501645312.

The previous prime is 1645041311. The next prime is 1645041331. The reversal of 1645041312 is 2131405461.

It is a happy number.

1645041312 is a `hidden beast` number, since 1 + 645 + 0 + 4 + 1 + 3 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1622800656 + 22240656 = 40284^2 + 4716^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1645041311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1629864 + ... + 1630872.

Almost surely, 2^1645041312 is an apocalyptic number.

1645041312 is a gapful number since it is divisible by the number (12) 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 1645041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633136660).

1645041312 is an abundant number, since it is smaller than the sum of its proper divisors (3621232008).

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

1645041312 is a wasteful number, since it uses less digits than its factorization.

1645041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1645041312 is about 40559.1088659502. The cubic root of 1645041312 is about 1180.4808229134.

Adding to 1645041312 its reverse (2131405461), we get a palindrome (3776446773).

The spelling of 1645041312 in words is "one billion, six hundred forty-five million, forty-one thousand, three hundred twelve".