398018178200016 has 480 divisors, whose sum is σ = 1271667268085760. Its totient is φ = 119511508838400.

The previous prime is 398018178200009. The next prime is 398018178200017. The reversal of 398018178200016 is 610002871810893.

398018178200016 is a `hidden beast` number, since 398 + 0 + 181 + 78 + 2 + 0 + 0 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398018178200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22187302375 + ... + 22187320313.

It is an arithmetic number, because the mean of its divisors is an integer number (2649306808512).

Almost surely, 2^{398018178200016} is an apocalyptic number.

398018178200016 is a gapful number since it is divisible by the number (36) 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 398018178200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635833634042880).

398018178200016 is an abundant number, since it is smaller than the sum of its proper divisors (873649089885744).

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

398018178200016 is a wasteful number, since it uses less digits than its factorization.

398018178200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22677 (or 22659 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 398018178200016 in words is "three hundred ninety-eight trillion, eighteen billion, one hundred seventy-eight million, two hundred thousand, sixteen".