983644972128 has 672 divisors, whose sum is σ = 3584048150592. Its totient is φ = 258660864000.

The previous prime is 983644972117. The next prime is 983644972207. The reversal of 983644972128 is 821279446389.

983644972128 is a `hidden beast` number, since 9 + 83 + 64 + 497 + 2 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

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

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 111 ways as a sum of consecutive naturals, for example, 1403202178 + ... + 1403202878.

It is an arithmetic number, because the mean of its divisors is an integer number (5333404986).

Almost surely, 2^983644972128 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 983644972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792024075296).

983644972128 is an abundant number, since it is smaller than the sum of its proper divisors (2600403178464).

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

983644972128 is a wasteful number, since it uses less digits than its factorization.

983644972128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1387 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 983644972128 in words is "nine hundred eighty-three billion, six hundred forty-four million, nine hundred seventy-two thousand, one hundred twenty-eight".