1045965312 has 240 divisors, whose sum is σ = 3580729152. Its totient is φ = 298598400.

The previous prime is 1045965311. The next prime is 1045965317. The reversal of 1045965312 is 2135695401.

1045965312 is a `hidden beast` number, since 1 + 0 + 4 + 596 + 53 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1045965311) by changing a digit.

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, 870312 + ... + 871512.

Almost surely, 2^1045965312 is an apocalyptic number.

1045965312 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 1045965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790364576).

1045965312 is an abundant number, since it is smaller than the sum of its proper divisors (2534763840).

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

1045965312 is an frugal number, since it uses more digits than its factorization.

1045965312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1045965312 is about 32341.3869832449. The cubic root of 1045965312 is about 1015.0928310995.

The spelling of 1045965312 in words is "one billion, forty-five million, nine hundred sixty-five thousand, three hundred twelve".