971878943232 has 480 divisors, whose sum is σ = 3167694129600. Its totient is φ = 296305164288.

The previous prime is 971878943207. The next prime is 971878943239. The reversal of 971878943232 is 232349878179.

971878943232 is a `hidden beast` number, since 97 + 1 + 8 + 7 + 89 + 432 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 971878943232.

It is not an unprimeable number, because it can be changed into a prime (971878943239) 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 47 ways as a sum of consecutive naturals, for example, 68546128 + ... + 68560304.

It is an arithmetic number, because the mean of its divisors is an integer number (6599362770).

Almost surely, 2^971878943232 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 971878943232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583847064800).

971878943232 is an abundant number, since it is smaller than the sum of its proper divisors (2195815186368).

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

971878943232 is a wasteful number, since it uses less digits than its factorization.

971878943232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14258 (or 14230 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 971878943232 in words is "nine hundred seventy-one billion, eight hundred seventy-eight million, nine hundred forty-three thousand, two hundred thirty-two".