618102340128 has 2160 divisors, whose sum is σ = 2586532748184. Its totient is φ = 142968913920.

The previous prime is 618102340123. The next prime is 618102340133. The reversal of 618102340128 is 821043201816.

618102340128 is a `hidden beast` number, since 618 + 1 + 0 + 2 + 34 + 0 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (618102340123) and next prime (618102340133).

It can be written as a sum of positive squares in 4 ways, for example, as 335644105104 + 282458235024 = 579348^2 + 531468^2 .

It is a super-3 number, since 3×618102340128³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 618102340092 and 618102340101.

It is not an unprimeable number, because it can be changed into a prime (618102340123) 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 359 ways as a sum of consecutive naturals, for example, 10132825218 + ... + 10132825278.

Almost surely, 2^618102340128 is an apocalyptic number.

618102340128 is a gapful number since it is divisible by the number (68) 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 618102340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293266374092).

618102340128 is an abundant number, since it is smaller than the sum of its proper divisors (1968430408056).

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

618102340128 is a wasteful number, since it uses less digits than its factorization.

618102340128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 618102340128 in words is "six hundred eighteen billion, one hundred two million, three hundred forty thousand, one hundred twenty-eight".