1998002313216 has 1152 divisors, whose sum is σ = 7531411829760. Its totient is φ = 495869755392.

The previous prime is 1998002313191. The next prime is 1998002313227. The reversal of 1998002313216 is 6123132008991.

It is a happy number.

1998002313216 is a `hidden beast` number, since 1 + 9 + 98 + 0 + 0 + 231 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2584737406 + ... + 2584738178.

It is an arithmetic number, because the mean of its divisors is an integer number (6537683880).

Almost surely, 2^{1998002313216} is an apocalyptic number.

1998002313216 is a gapful number since it is divisible by the number (16) 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 1998002313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765705914880).

1998002313216 is an abundant number, since it is smaller than the sum of its proper divisors (5533409516544).

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

1998002313216 is a wasteful number, since it uses less digits than its factorization.

1998002313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1998002313216 in words is "one trillion, nine hundred ninety-eight billion, two million, three hundred thirteen thousand, two hundred sixteen".