971211350661696 has 2079 divisors, whose sum is σ = 3290439119782843. Its totient is φ = 284337758453760.

The previous prime is 971211350661553. The next prime is 971211350661703. The reversal of 971211350661696 is 696166053112179.

It is a happy number.

The square root of 971211350661696 is 31164264.

It is a perfect power (a square), and thus also a powerful number.

971211350661696 is a `hidden beast` number, since 9 + 7 + 1 + 2 + 1 + 1 + 3 + 5 + 0 + 6 + 616 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68421351758400 + 902789998903296 = 8271720^2 + 30046464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 23688081723436 + ... + 23688081723476.

Almost surely, 2^{971211350661696} is an apocalyptic number.

971211350661696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

971211350661696 is the 31164264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971211350661696

971211350661696 is an abundant number, since it is smaller than the sum of its proper divisors (2319227769121147).

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

971211350661696 is an frugal number, since it uses more digits than its factorization.

971211350661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 971211350661696 in words is "nine hundred seventy-one trillion, two hundred eleven billion, three hundred fifty million, six hundred sixty-one thousand, six hundred ninety-six".