4611820816614 has 256 divisors, whose sum is σ = 10643798753280. Its totient is φ = 1319749200000.

The previous prime is 4611820816613. The next prime is 4611820816679. The reversal of 4611820816614 is 4166180281164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4611820816613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4653703659 + ... + 4653704649.

It is an arithmetic number, because the mean of its divisors is an integer number (41577338880).

Almost surely, 2^{4611820816614} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4611820816614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321899376640).

4611820816614 is an abundant number, since it is smaller than the sum of its proper divisors (6031977936666).

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

4611820816614 is a wasteful number, since it uses less digits than its factorization.

4611820816614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487.

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 4611820816614 in words is "four trillion, six hundred eleven billion, eight hundred twenty million, eight hundred sixteen thousand, six hundred fourteen".