971995728384 has 200 divisors, whose sum is σ = 2902572217908. Its totient is φ = 323839918080.

The previous prime is 971995728371. The next prime is 971995728419. The reversal of 971995728384 is 483827599179.

971995728384 is a `hidden beast` number, since 9 + 7 + 19 + 9 + 572 + 8 + 38 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 951795360000 + 20200368384 = 975600^2 + 142128^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110186694 + ... + 110195514.

Almost surely, 2^971995728384 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 971995728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451286108954).

971995728384 is an abundant number, since it is smaller than the sum of its proper divisors (1930576489524).

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

971995728384 is an equidigital number, since it uses as much as digits as its factorization.

971995728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11508 (or 11483 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 971995728384 in words is "nine hundred seventy-one billion, nine hundred ninety-five million, seven hundred twenty-eight thousand, three hundred eighty-four".