616555166106 has 128 divisors (see below), whose sum is σ = 1427155034112. Its totient is φ = 175795488000.

The previous prime is 616555166047. The next prime is 616555166107. The reversal of 616555166106 is 601661555616.

It is not an unprimeable number, because it can be changed into a prime (616555166107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176611021 + ... + 176614511.

It is an arithmetic number, because the mean of its divisors is an integer number (11149648704).

Almost surely, 2^616555166106 is an apocalyptic number.

616555166106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 616555166106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713577517056).

616555166106 is an abundant number, since it is smaller than the sum of its proper divisors (810599868006).

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

616555166106 is a wasteful number, since it uses less digits than its factorization.

616555166106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908.

The product of its (nonzero) digits is 972000, while the sum is 48.

It can be divided in two parts, 61655 and 5166106, that added together give a triangular number (5227761 = T₃₂₃₃).

The spelling of 616555166106 in words is "six hundred sixteen billion, five hundred fifty-five million, one hundred sixty-six thousand, one hundred six".