4746632047416 has 432 divisors, whose sum is σ = 15912014990040. Its totient is φ = 1274293278720.

The previous prime is 4746632047373. The next prime is 4746632047477. The reversal of 4746632047416 is 6147402366474.

4746632047416 is a `hidden beast` number, since 4 + 74 + 66 + 32 + 0 + 474 + 16 = 666.

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 107 ways as a sum of consecutive naturals, for example, 673946791 + ... + 673953833.

Almost surely, 2^{4746632047416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4746632047416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956007495020).

4746632047416 is an abundant number, since it is smaller than the sum of its proper divisors (11165382942624).

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

4746632047416 is a wasteful number, since it uses less digits than its factorization.

4746632047416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 4746632047416 in words is "four trillion, seven hundred forty-six billion, six hundred thirty-two million, forty-seven thousand, four hundred sixteen".