974192688144 has 945 divisors, whose sum is σ = 3323931143463. Its totient is φ = 276300191232.

The previous prime is 974192688083. The next prime is 974192688151. The reversal of 974192688144 is 441886291479.

The square root of 974192688144 is 987012.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4046486544 + 970146201600 = 63612^2 + 984960^2 .

It is an unprimeable number.

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 188 ways as a sum of consecutive naturals, for example, 26329532094 + ... + 26329532130.

Almost surely, 2^974192688144 is an apocalyptic number.

974192688144 is the 987012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974192688144

974192688144 is an abundant number, since it is smaller than the sum of its proper divisors (2349738455319).

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

974192688144 is a wasteful number, since it uses less digits than its factorization.

974192688144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 74 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 974192688144 in words is "nine hundred seventy-four billion, one hundred ninety-two million, six hundred eighty-eight thousand, one hundred forty-four".