618484416 has 112 divisors (see below), whose sum is σ = 1804172160. Its totient is φ = 185425920.

The previous prime is 618484411. The next prime is 618484417. The reversal of 618484416 is 614484816.

It is a super-2 number, since 2×618484416² = 765045945669722112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (618484411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203355 + ... + 206373.

It is an arithmetic number, because the mean of its divisors is an integer number (16108680).

Almost surely, 2^618484416 is an apocalyptic number.

618484416 is a gapful number since it is divisible by the number (66) 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 618484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902086080).

618484416 is an abundant number, since it is smaller than the sum of its proper divisors (1185687744).

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

618484416 is a wasteful number, since it uses less digits than its factorization.

618484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3132 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 618484416 is about 24869.3469154298. The cubic root of 618484416 is about 852.0065242287.

The spelling of 618484416 in words is "six hundred eighteen million, four hundred eighty-four thousand, four hundred sixteen".