945945216 has 80 divisors (see below), whose sum is σ = 2815148490. Its totient is φ = 315311616.

The previous prime is 945945199. The next prime is 945945233. The reversal of 945945216 is 612549549.

945945216 is a `hidden beast` number, since 9 + 4 + 594 + 52 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (945945199) and next prime (945945233).

It can be written as a sum of positive squares in only one way, i.e., 936360000 + 9585216 = 30600^2 + 3096^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35251 + ... + 55986.

Almost surely, 2^945945216 is an apocalyptic number.

945945216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

945945216 is an abundant number, since it is smaller than the sum of its proper divisors (1869203274).

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

945945216 is an equidigital number, since it uses as much as digits as its factorization.

945945216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91263 (or 91242 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 945945216 is about 30756.2223948261. Note that the first 3 decimals coincide. The cubic root of 945945216 is about 981.6469654300.

The spelling of 945945216 in words is "nine hundred forty-five million, nine hundred forty-five thousand, two hundred sixteen".