958863974656 has 135 divisors (see below), whose sum is σ = 2234635730061. Its totient is φ = 410612686848.

The previous prime is 958863974641. The next prime is 958863974657. The reversal of 958863974656 is 656479368859.

The square root of 958863974656 is 979216.

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., 392397005056 + 566466969600 = 626416^2 + 752640^2 .

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (958863974657) 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 14 ways as a sum of consecutive naturals, for example, 767704720 + ... + 767705968.

Almost surely, 2^958863974656 is an apocalyptic number.

958863974656 is the 979216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 958863974656

958863974656 is an abundant number, since it is smaller than the sum of its proper divisors (1275771755405).

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

958863974656 is an frugal number, since it uses more digits than its factorization.

958863974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2542 (or 1258 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 76.

The spelling of 958863974656 in words is "nine hundred fifty-eight billion, eight hundred sixty-three million, nine hundred seventy-four thousand, six hundred fifty-six".