946444584960 has 1152 divisors, whose sum is σ = 3997888876800. Its totient is φ = 202144481280.

The previous prime is 946444584931. The next prime is 946444584961. The reversal of 946444584960 is 69485444649.

946444584960 is a `hidden beast` number, since 9 + 4 + 6 + 4 + 44 + 584 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (946444584961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2314045236 + ... + 2314045644.

It is an arithmetic number, because the mean of its divisors is an integer number (3470389650).

Almost surely, 2^946444584960 is an apocalyptic number.

946444584960 is a gapful number since it is divisible by the number (90) 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 946444584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998944438400).

946444584960 is an abundant number, since it is smaller than the sum of its proper divisors (3051444291840).

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

946444584960 is a wasteful number, since it uses less digits than its factorization.

946444584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 946444584960 in words is "nine hundred forty-six billion, four hundred forty-four million, five hundred eighty-four thousand, nine hundred sixty".