618124416 has 384 divisors, whose sum is σ = 2176272000. Its totient is φ = 154441728.

The previous prime is 618124399. The next prime is 618124421. The reversal of 618124416 is 614421816.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32532855 + ... + 32532873.

It is an arithmetic number, because the mean of its divisors is an integer number (5667375).

Almost surely, 2^618124416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 618124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088136000).

618124416 is an abundant number, since it is smaller than the sum of its proper divisors (1558147584).

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

618124416 is a wasteful number, since it uses less digits than its factorization.

618124416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 44 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 618124416 is about 24862.1080361260. The cubic root of 618124416 is about 851.8411835609.

The spelling of 618124416 in words is "six hundred eighteen million, one hundred twenty-four thousand, four hundred sixteen".