973683456516 has 243 divisors, whose sum is σ = 2622563476351. Its totient is φ = 304583330688.

The previous prime is 973683456511. The next prime is 973683456533. The reversal of 973683456516 is 615654386379.

The square root of 973683456516 is 986754.

It is a perfect power (a square), and thus also a powerful number.

973683456516 is a `hidden beast` number, since 9 + 7 + 3 + 68 + 3 + 4 + 56 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61093008900 + 912590447616 = 247170^2 + 955296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973683456511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9099845335 + ... + 9099845441.

Almost surely, 2^973683456516 is an apocalyptic number.

973683456516 is the 986754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973683456516

973683456516 is an abundant number, since it is smaller than the sum of its proper divisors (1648880019835).

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

973683456516 is a wasteful number, since it uses less digits than its factorization.

973683456516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 194 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 973683456516 in words is "nine hundred seventy-three billion, six hundred eighty-three million, four hundred fifty-six thousand, five hundred sixteen".