4634217664614 has 64 divisors (see below), whose sum is σ = 10404470407680. Its totient is φ = 1528820373600.

The previous prime is 4634217664591. The next prime is 4634217664651. The reversal of 4634217664614 is 4164667124364.

4634217664614 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 2 + 17 + 6 + 6 + 4 + 614 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13282807 + ... + 13627229.

It is an arithmetic number, because the mean of its divisors is an integer number (162569850120).

Almost surely, 2^{4634217664614} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4634217664614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202235203840).

4634217664614 is an abundant number, since it is smaller than the sum of its proper divisors (5770252743066).

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

4634217664614 is a wasteful number, since it uses less digits than its factorization.

4634217664614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347002 (or 346996 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 4634217664614 in words is "four trillion, six hundred thirty-four billion, two hundred seventeen million, six hundred sixty-four thousand, six hundred fourteen".