616146312330120 has 768 divisors, whose sum is σ = 2313715465635840. Its totient is φ = 130176718848000.

The previous prime is 616146312330047. The next prime is 616146312330173. The reversal of 616146312330120 is 21033213641616.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 191 ways as a sum of consecutive naturals, for example, 238629862 + ... + 241198058.

It is an arithmetic number, because the mean of its divisors is an integer number (3012650345880).

Almost surely, 2^{616146312330120} is an apocalyptic number.

616146312330120 is a gapful number since it is divisible by the number (60) 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 616146312330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156857732817920).

616146312330120 is an abundant number, since it is smaller than the sum of its proper divisors (1697569153305720).

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

616146312330120 is a wasteful number, since it uses less digits than its factorization.

616146312330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568318 (or 2568303 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

Adding to 616146312330120 its reverse (21033213641616), we get a palindrome (637179525971736).

The spelling of 616146312330120 in words is "six hundred sixteen trillion, one hundred forty-six billion, three hundred twelve million, three hundred thirty thousand, one hundred twenty".