945046656 has 128 divisors (see below), whose sum is σ = 2879500800. Its totient is φ = 304819200.

The previous prime is 945046651. The next prime is 945046673. The reversal of 945046656 is 656640549.

945046656 is a `hidden beast` number, since 94 + 50 + 466 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×945046656² = 1786226364033564672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (945046651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102726 + ... + 111546.

It is an arithmetic number, because the mean of its divisors is an integer number (22496100).

Almost surely, 2^945046656 is an apocalyptic number.

945046656 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 945046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439750400).

945046656 is an abundant number, since it is smaller than the sum of its proper divisors (1934454144).

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

945046656 is a wasteful number, since it uses less digits than its factorization.

945046656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8857 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 945046656 is about 30741.6111484093. The cubic root of 945046656 is about 981.3360425125.

The spelling of 945046656 in words is "nine hundred forty-five million, forty-six thousand, six hundred fifty-six".