946126368 has 72 divisors (see below), whose sum is σ = 2935151856. Its totient is φ = 286704000.

The previous prime is 946126361. The next prime is 946126393. The reversal of 946126368 is 863621649.

946126368 is a `hidden beast` number, since 9 + 4 + 6 + 1 + 2 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (946126361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 146158 + ... + 152493.

It is an arithmetic number, because the mean of its divisors is an integer number (40765998).

Almost surely, 2^946126368 is an apocalyptic number.

It is an amenable number.

946126368 is an abundant number, since it is smaller than the sum of its proper divisors (1989025488).

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

946126368 is a wasteful number, since it uses less digits than its factorization.

946126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298678 (or 298667 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 946126368 is about 30759.1672188959. The cubic root of 946126368 is about 981.7096244360.

The spelling of 946126368 in words is "nine hundred forty-six million, one hundred twenty-six thousand, three hundred sixty-eight".