973815686041 has 27 divisors (see below), whose sum is σ = 1077587414463. Its totient is φ = 879375929520.

The previous prime is 973815686023. The next prime is 973815686069. The reversal of 973815686041 is 140686518379.

The square root of 973815686041 is 986821.

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

It can be written as a sum of positive squares in only one way, i.e., 54510575625 + 919305110416 = 233475^2 + 958804^2 .

It is not a de Polignac number, because 973815686041 - 2⁹ = 973815685529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973815686071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3071973615 + ... + 3071973931.

Almost surely, 2^973815686041 is an apocalyptic number.

973815686041 is the 986821-st square number.

973815686041 is the 493411-st centered octagonal number.

It is an amenable number.

973815686041 is a deficient number, since it is larger than the sum of its proper divisors (103771728422).

973815686041 is an frugal number, since it uses more digits than its factorization.

973815686041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 973815686041 in words is "nine hundred seventy-three billion, eight hundred fifteen million, six hundred eighty-six thousand, forty-one".