973066841352 has 384 divisors, whose sum is σ = 2811302208000. Its totient is φ = 303726827520.

The previous prime is 973066841323. The next prime is 973066841389. The reversal of 973066841352 is 253148660379.

973066841352 is a `hidden beast` number, since 97 + 30 + 6 + 68 + 413 + 52 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1327512378 + ... + 1327513110.

It is an arithmetic number, because the mean of its divisors is an integer number (7321099500).

It is a 1-persistent number, because it is pandigital, but 2⋅973066841352 = 1946133682704 is not.

Almost surely, 2^973066841352 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 973066841352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405651104000).

973066841352 is an abundant number, since it is smaller than the sum of its proper divisors (1838235366648).

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

973066841352 is a wasteful number, since it uses less digits than its factorization.

973066841352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 973066841352 in words is "nine hundred seventy-three billion, sixty-six million, eight hundred forty-one thousand, three hundred fifty-two".