945570816 has 264 divisors, whose sum is σ = 2912307840. Its totient is φ = 295059456.

The previous prime is 945570803. The next prime is 945570833. The reversal of 945570816 is 618075549.

945570816 is a `hidden beast` number, since 94 + 557 + 0 + 8 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16026595 + ... + 16026653.

Almost surely, 2^945570816 is an apocalyptic number.

945570816 is a gapful number since it is divisible by the number (96) 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 945570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456153920).

945570816 is an abundant number, since it is smaller than the sum of its proper divisors (1966737024).

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

945570816 is a wasteful number, since it uses less digits than its factorization.

945570816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 945570816 is about 30750.1352192149. The cubic root of 945570816 is about 981.5174381533.

The spelling of 945570816 in words is "nine hundred forty-five million, five hundred seventy thousand, eight hundred sixteen".