946391846400 has 2880 divisors, whose sum is σ = 4720842846720. Its totient is φ = 174646886400.

The previous prime is 946391846399. The next prime is 946391846419. The reversal of 946391846400 is 4648193649.

It is a happy number.

946391846400 is a `hidden beast` number, since 94 + 6 + 3 + 91 + 8 + 464 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3344140659 + ... + 3344140941.

It is an arithmetic number, because the mean of its divisors is an integer number (1639181544).

Almost surely, 2^946391846400 is an apocalyptic number.

946391846400 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 946391846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360421423360).

946391846400 is an abundant number, since it is smaller than the sum of its proper divisors (3774451000320).

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

946391846400 is a wasteful number, since it uses less digits than its factorization.

946391846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 946391846400 in words is "nine hundred forty-six billion, three hundred ninety-one million, eight hundred forty-six thousand, four hundred".