973894192128 has 880 divisors, whose sum is σ = 3491364248064. Its totient is φ = 266469212160.

The previous prime is 973894192123. The next prime is 973894192129. The reversal of 973894192128 is 821291498379.

973894192128 is a `hidden beast` number, since 9 + 7 + 389 + 41 + 92 + 128 = 666.

It is not an unprimeable number, because it can be changed into a prime (973894192123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 557465751 + ... + 557467497.

Almost surely, 2^973894192128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973894192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745682124032).

973894192128 is an abundant number, since it is smaller than the sum of its proper divisors (2517470055936).

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

973894192128 is a wasteful number, since it uses less digits than its factorization.

973894192128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1823 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 973894192128 in words is "nine hundred seventy-three billion, eight hundred ninety-four million, one hundred ninety-two thousand, one hundred twenty-eight".