4646337969312 has 576 divisors, whose sum is σ = 15553311621120. Its totient is φ = 1352635075584.

The previous prime is 4646337969283. The next prime is 4646337969313. The reversal of 4646337969312 is 2139697336464.

It is a happy number.

4646337969312 is a `hidden beast` number, since 4 + 6 + 463 + 3 + 79 + 6 + 93 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4646337969312.

It is not an unprimeable number, because it can be changed into a prime (4646337969313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2548730833 + ... + 2548732655.

It is an arithmetic number, because the mean of its divisors is an integer number (27002277120).

Almost surely, 2^{4646337969312} 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 4646337969312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776655810560).

4646337969312 is an abundant number, since it is smaller than the sum of its proper divisors (10906973651808).

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

4646337969312 is a wasteful number, since it uses less digits than its factorization.

4646337969312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3187 counting only the distinct ones).

The product of its digits is 105815808, while the sum is 63.

The spelling of 4646337969312 in words is "four trillion, six hundred forty-six billion, three hundred thirty-seven million, nine hundred sixty-nine thousand, three hundred twelve".