4633316201600 has 96 divisors (see below), whose sum is σ = 11472298583040. Its totient is φ = 1849025868800.

The previous prime is 4633316201581. The next prime is 4633316201617. The reversal of 4633316201600 is 61026133364.

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 11 ways as a sum of consecutive naturals, for example, 300512 + ... + 3058911.

It is an arithmetic number, because the mean of its divisors is an integer number (119503110240).

Almost surely, 2^{4633316201600} is an apocalyptic number.

4633316201600 is a gapful number since it is divisible by the number (40) 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 4633316201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736149291520).

4633316201600 is an abundant number, since it is smaller than the sum of its proper divisors (6838982381440).

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

4633316201600 is a wasteful number, since it uses less digits than its factorization.

4633316201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359878 (or 3359861 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 4633316201600 in words is "four trillion, six hundred thirty-three billion, three hundred sixteen million, two hundred one thousand, six hundred".