4634338334364 has 96 divisors (see below), whose sum is σ = 12135356486400. Its totient is φ = 1529302420800.

The previous prime is 4634338334363. The next prime is 4634338334369.

4634338334364 is a `hidden beast` number, since 46 + 3 + 433 + 83 + 34 + 3 + 64 = 666.

4634338334364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4634338334364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4634338334363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115899327 + ... + 115939305.

It is an arithmetic number, because the mean of its divisors is an integer number (126409963400).

Almost surely, 2^{4634338334364} 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 4634338334364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067678243200).

4634338334364 is an abundant number, since it is smaller than the sum of its proper divisors (7501018152036).

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

4634338334364 is a wasteful number, since it uses less digits than its factorization.

4634338334364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50720 (or 50712 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 54.

The spelling of 4634338334364 in words is "four trillion, six hundred thirty-four billion, three hundred thirty-eight million, three hundred thirty-four thousand, three hundred sixty-four".