4633084404096 has 512 divisors, whose sum is σ = 14331351859200. Its totient is φ = 1317664972800.

The previous prime is 4633084404079. The next prime is 4633084404097. The reversal of 4633084404096 is 6904044803364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4633084404097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192463741 + ... + 192487811.

It is an arithmetic number, because the mean of its divisors is an integer number (27990921600).

Almost surely, 2^{4633084404096} is an apocalyptic number.

4633084404096 is a gapful number since it is divisible by the number (46) 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 4633084404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165675929600).

4633084404096 is an abundant number, since it is smaller than the sum of its proper divisors (9698267455104).

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

4633084404096 is a wasteful number, since it uses less digits than its factorization.

4633084404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24198 (or 24186 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 51.

The spelling of 4633084404096 in words is "four trillion, six hundred thirty-three billion, eighty-four million, four hundred four thousand, ninety-six".