983552106816 has 224 divisors, whose sum is σ = 2989182134400. Its totient is φ = 316917411840.

The previous prime is 983552106793. The next prime is 983552106833. The reversal of 983552106816 is 618601255389.

983552106816 is a `hidden beast` number, since 9 + 8 + 3 + 552 + 1 + 0 + 6 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7658751 + ... + 7786113.

It is an arithmetic number, because the mean of its divisors is an integer number (13344563100).

Almost surely, 2^983552106816 is an apocalyptic number.

983552106816 is a gapful number since it is divisible by the number (96) 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 983552106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494591067200).

983552106816 is an abundant number, since it is smaller than the sum of its proper divisors (2005630027584).

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

983552106816 is a wasteful number, since it uses less digits than its factorization.

983552106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127534 (or 127518 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 983552106816 in words is "nine hundred eighty-three billion, five hundred fifty-two million, one hundred six thousand, eight hundred sixteen".