398133171221184 has 1680 divisors, whose sum is σ = 1431855175213056. Its totient is φ = 108947955916800.

The previous prime is 398133171221147. The next prime is 398133171221237. The reversal of 398133171221184 is 481122171331893.

398133171221184 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 331 + 7 + 1 + 221 + 1 + 84 = 666.

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

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

Its product of digits (1741824) is a multiple of the sum of its prime factors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 398133171221184.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 401748910929 + ... + 401748911919.

Almost surely, 2^{398133171221184} 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 398133171221184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715927587606528).

398133171221184 is an abundant number, since it is smaller than the sum of its proper divisors (1033722003991872).

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

398133171221184 is a wasteful number, since it uses less digits than its factorization.

398133171221184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1510 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 398133171221184 in words is "three hundred ninety-eight trillion, one hundred thirty-three billion, one hundred seventy-one million, two hundred twenty-one thousand, one hundred eighty-four".