946463616 has 432 divisors, whose sum is σ = 3432934440. Its totient is φ = 258660864.

The previous prime is 946463599. The next prime is 946463659. The reversal of 946463616 is 616364649.

946463616 is a `hidden beast` number, since 9 + 4 + 6 + 4 + 636 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 41150581 + ... + 41150603.

Almost surely, 2^946463616 is an apocalyptic number.

946463616 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 946463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716467220).

946463616 is an abundant number, since it is smaller than the sum of its proper divisors (2486470824).

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

946463616 is an frugal number, since it uses more digits than its factorization.

946463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 35 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 946463616 is about 30764.6488034562. The cubic root of 946463616 is about 981.8262544791.

The spelling of 946463616 in words is "nine hundred forty-six million, four hundred sixty-three thousand, six hundred sixteen".