1983098283264 has 1296 divisors, whose sum is σ = 7472365264000. Its totient is φ = 504097800192.

The previous prime is 1983098283259. The next prime is 1983098283289. The reversal of 1983098283264 is 4623828903891.

1983098283264 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 0 + 98 + 283 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4339383324 + ... + 4339383780.

Almost surely, 2^{1983098283264} is an apocalyptic number.

1983098283264 is a gapful number since it is divisible by the number (14) 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 1983098283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736182632000).

1983098283264 is an abundant number, since it is smaller than the sum of its proper divisors (5489266980736).

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

1983098283264 is a wasteful number, since it uses less digits than its factorization.

1983098283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 1983098283264 in words is "one trillion, nine hundred eighty-three billion, ninety-eight million, two hundred eighty-three thousand, two hundred sixty-four".