983122040849760 has 1536 divisors, whose sum is σ = 4357011094732800. Its totient is φ = 201868762152960.

The previous prime is 983122040849713. The next prime is 983122040849761. The reversal of 983122040849760 is 67948040221389.

983122040849760 is a `hidden beast` number, since 9 + 8 + 3 + 122 + 0 + 408 + 49 + 7 + 60 = 666.

It is a super-3 number, since 3×983122040849760³ (a number of 46 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983122040849761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1162940506 + ... + 1163785574.

It is an arithmetic number, because the mean of its divisors is an integer number (2836595764800).

Almost surely, 2^{983122040849760} is an apocalyptic number.

983122040849760 is a gapful number since it is divisible by the number (90) 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 983122040849760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178505547366400).

983122040849760 is an abundant number, since it is smaller than the sum of its proper divisors (3373889053883040).

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

983122040849760 is a wasteful number, since it uses less digits than its factorization.

983122040849760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845221 (or 845207 counting only the distinct ones).

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

The spelling of 983122040849760 in words is "nine hundred eighty-three trillion, one hundred twenty-two billion, forty million, eight hundred forty-nine thousand, seven hundred sixty".