973386544896 has 216 divisors, whose sum is σ = 2964926611920. Its totient is φ = 306271715328.

The previous prime is 973386544811. The next prime is 973386544957. The reversal of 973386544896 is 698445683379.

973386544896 is a `hidden beast` number, since 9 + 7 + 3 + 38 + 65 + 448 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12085816 + ... + 12166088.

Almost surely, 2^973386544896 is an apocalyptic number.

973386544896 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 973386544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482463305960).

973386544896 is an abundant number, since it is smaller than the sum of its proper divisors (1991540067024).

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

973386544896 is a wasteful number, since it uses less digits than its factorization.

973386544896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80591 (or 80574 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 973386544896 in words is "nine hundred seventy-three billion, three hundred eighty-six million, five hundred forty-four thousand, eight hundred ninety-six".