971489656368 has 320 divisors, whose sum is σ = 3477955968000. Its totient is φ = 252237680640.

The previous prime is 971489656349. The next prime is 971489656387. The reversal of 971489656368 is 863656984179.

971489656368 is a `hidden beast` number, since 97 + 1 + 48 + 96 + 56 + 368 = 666.

It is an interprime number because it is at equal distance from previous prime (971489656349) and next prime (971489656387).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 971489656296 and 971489656305.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 134682330 + ... + 134689542.

It is an arithmetic number, because the mean of its divisors is an integer number (10868612400).

Almost surely, 2^971489656368 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 971489656368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738977984000).

971489656368 is an abundant number, since it is smaller than the sum of its proper divisors (2506466311632).

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

971489656368 is a wasteful number, since it uses less digits than its factorization.

971489656368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11285 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 971489656368 in words is "nine hundred seventy-one billion, four hundred eighty-nine million, six hundred fifty-six thousand, three hundred sixty-eight".