971654466648 has 128 divisors (see below), whose sum is σ = 2541896340480. Its totient is φ = 308930941440.

The previous prime is 971654466599. The next prime is 971654466661. The reversal of 971654466648 is 846664456179.

It is a super-2 number, since 2×971654466648² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 522113238 + ... + 522115098.

It is an arithmetic number, because the mean of its divisors is an integer number (19858565160).

Almost surely, 2^971654466648 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 971654466648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270948170240).

971654466648 is an abundant number, since it is smaller than the sum of its proper divisors (1570241873832).

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

971654466648 is a wasteful number, since it uses less digits than its factorization.

971654466648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4045 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 66.

The spelling of 971654466648 in words is "nine hundred seventy-one billion, six hundred fifty-four million, four hundred sixty-six thousand, six hundred forty-eight".