396198589854816 has 288 divisors, whose sum is σ = 1330278401507328. Its totient is φ = 109457664629760.

The previous prime is 396198589854773. The next prime is 396198589854829. The reversal of 396198589854816 is 618458985891693.

396198589854816 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 9 + 8 + 58 + 9 + 8 + 548 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73194465 + ... + 78420831.

It is an arithmetic number, because the mean of its divisors is an integer number (4619022227456).

Almost surely, 2^{396198589854816} is an apocalyptic number.

396198589854816 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 396198589854816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665139200753664).

396198589854816 is an abundant number, since it is smaller than the sum of its proper divisors (934079811652512).

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

396198589854816 is a wasteful number, since it uses less digits than its factorization.

396198589854816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227634 (or 5227623 counting only the distinct ones).

The product of its digits is 32248627200, while the sum is 90.

The spelling of 396198589854816 in words is "three hundred ninety-six trillion, one hundred ninety-eight billion, five hundred eighty-nine million, eight hundred fifty-four thousand, eight hundred sixteen".