398783319984 has 800 divisors, whose sum is σ = 1451907072000. Its totient is φ = 103046307840.

The previous prime is 398783319947. The next prime is 398783319997. The reversal of 398783319984 is 489913387893.

398783319984 is a `hidden beast` number, since 398 + 78 + 3 + 3 + 1 + 99 + 84 = 666.

It is a super-2 number, since 2×398783319984² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

Its product of digits (282175488) is a multiple of the sum of its prime divisors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1142645442 + ... + 1142645790.

It is an arithmetic number, because the mean of its divisors is an integer number (1814883840).

Almost surely, 2^398783319984 is an apocalyptic number.

398783319984 is a gapful number since it is divisible by the number (34) 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 398783319984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725953536000).

398783319984 is an abundant number, since it is smaller than the sum of its proper divisors (1053123752016).

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

398783319984 is a wasteful number, since it uses less digits than its factorization.

398783319984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 648 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 398783319984 in words is "three hundred ninety-eight billion, seven hundred eighty-three million, three hundred nineteen thousand, nine hundred eighty-four".