398984249104 has 135 divisors (see below), whose sum is σ = 955969792533. Its totient is φ = 160813545984.

The previous prime is 398984249101. The next prime is 398984249117. The reversal of 398984249104 is 401942489893.

The square root of 398984249104 is 631652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 310627875600 + 88356373504 = 557340^2 + 297248^2 .

It is not an unprimeable number, because it can be changed into a prime (398984249101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 300665689 + ... + 300667015.

Almost surely, 2^398984249104 is an apocalyptic number.

398984249104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

398984249104 is the 631652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398984249104

398984249104 is an abundant number, since it is smaller than the sum of its proper divisors (556985543429).

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

398984249104 is an equidigital number, since it uses as much as digits as its factorization.

398984249104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 398984249104 in words is "three hundred ninety-eight billion, nine hundred eighty-four million, two hundred forty-nine thousand, one hundred four".