4198146984 has 96 divisors (see below), whose sum is σ = 11737440000. Its totient is φ = 1354548096.

The previous prime is 4198146983. The next prime is 4198147043. The reversal of 4198146984 is 4896418914.

It is a happy number.

4198146984 is a `hidden beast` number, since 419 + 8 + 146 + 9 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4198146984.

It is not an unprimeable number, because it can be changed into a prime (4198146983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526177 + ... + 534095.

It is an arithmetic number, because the mean of its divisors is an integer number (122265000).

Almost surely, 2^4198146984 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 4198146984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868720000).

4198146984 is an abundant number, since it is smaller than the sum of its proper divisors (7539293016).

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

4198146984 is a wasteful number, since it uses less digits than its factorization.

4198146984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8167 (or 8160 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 4198146984 is about 64793.1090780493. The cubic root of 4198146984 is about 1613.1913326210.

The spelling of 4198146984 in words is "four billion, one hundred ninety-eight million, one hundred forty-six thousand, nine hundred eighty-four".