973307248816896 has 576 divisors, whose sum is σ = 3372923141683200. Its totient is φ = 271041439334400.

The previous prime is 973307248816891. The next prime is 973307248816961. The reversal of 973307248816896 is 698618842703379.

It is a happy number.

973307248816896 is a `hidden beast` number, since 9 + 7 + 3 + 3 + 0 + 72 + 488 + 1 + 68 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (973307248816891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2045002120 + ... + 2045478008.

It is an arithmetic number, because the mean of its divisors is an integer number (5855769343200).

Almost surely, 2^{973307248816896} is an apocalyptic number.

973307248816896 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 973307248816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686461570841600).

973307248816896 is an abundant number, since it is smaller than the sum of its proper divisors (2399615892866304).

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

973307248816896 is a wasteful number, since it uses less digits than its factorization.

973307248816896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476993 (or 476973 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 973307248816896 in words is "nine hundred seventy-three trillion, three hundred seven billion, two hundred forty-eight million, eight hundred sixteen thousand, eight hundred ninety-six".