971292212928 has 196 divisors, whose sum is σ = 2892783483408. Its totient is φ = 323428723200.

The previous prime is 971292212927. The next prime is 971292212971. The reversal of 971292212928 is 829212292179.

971292212928 is a `hidden beast` number, since 9 + 7 + 129 + 221 + 292 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (971292212927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 47252253 + ... + 47272803.

Almost surely, 2^971292212928 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 971292212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446391741704).

971292212928 is an abundant number, since it is smaller than the sum of its proper divisors (1921491270480).

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

971292212928 is a wasteful number, since it uses less digits than its factorization.

971292212928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21594 (or 21569 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 971292212928 in words is "nine hundred seventy-one billion, two hundred ninety-two million, two hundred twelve thousand, nine hundred twenty-eight".