618253416 has 192 divisors, whose sum is σ = 1977281280. Its totient is φ = 172400640.

The previous prime is 618253373. The next prime is 618253417. The reversal of 618253416 is 614352816.

It is a happy number.

618253416 is a `hidden beast` number, since 618 + 2 + 5 + 34 + 1 + 6 = 666.

It is a super-4 number, since 4×618253416⁴ (a number of 36 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (618253417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632320 + ... + 633296.

It is an arithmetic number, because the mean of its divisors is an integer number (10298340).

Almost surely, 2^618253416 is an apocalyptic number.

618253416 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 618253416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988640640).

618253416 is an abundant number, since it is smaller than the sum of its proper divisors (1359027864).

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

618253416 is a wasteful number, since it uses less digits than its factorization.

618253416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1057 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 618253416 is about 24864.7022101613. The cubic root of 618253416 is about 851.9004380122.

The spelling of 618253416 in words is "six hundred eighteen million, two hundred fifty-three thousand, four hundred sixteen".