945333312 has 168 divisors, whose sum is σ = 3142536768. Its totient is φ = 245498880.

The previous prime is 945333293. The next prime is 945333317. The reversal of 945333312 is 213333549.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×945333312³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (945333317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159718 + ... + 165530.

It is an arithmetic number, because the mean of its divisors is an integer number (18705576).

Almost surely, 2^945333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571268384).

945333312 is an abundant number, since it is smaller than the sum of its proper divisors (2197203456).

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

945333312 is a wasteful number, since it uses less digits than its factorization.

945333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5857 (or 5836 counting only the distinct ones).

The product of its digits is 29160, while the sum is 33.

The square root of 945333312 is about 30746.2731400084. The cubic root of 945333312 is about 981.4352536379.

The spelling of 945333312 in words is "nine hundred forty-five million, three hundred thirty-three thousand, three hundred twelve".