4634414144364 has 48 divisors (see below), whose sum is σ = 10838030829696. Its totient is φ = 1541321308800.

The previous prime is 4634414144279. The next prime is 4634414144383.

4634414144364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4634414144364² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18701679 + ... + 18947865.

It is an arithmetic number, because the mean of its divisors is an integer number (225792308952).

Almost surely, 2^{4634414144364} is an apocalyptic number.

It is an amenable number.

4634414144364 is an abundant number, since it is smaller than the sum of its proper divisors (6203616685332).

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

4634414144364 is a wasteful number, since it uses less digits than its factorization.

4634414144364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249726 (or 249724 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 4634414144364 in words is "four trillion, six hundred thirty-four billion, four hundred fourteen million, one hundred forty-four thousand, three hundred sixty-four".