972131909568 has 224 divisors, whose sum is σ = 2619629812800. Its totient is φ = 318131896320.

The previous prime is 972131909557. The next prime is 972131909569. The reversal of 972131909568 is 865909131279.

It is a super-2 number, since 2×972131909568² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972131909569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020074980 + ... + 1020075932.

It is an arithmetic number, because the mean of its divisors is an integer number (11694775950).

Almost surely, 2^972131909568 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 972131909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309814906400).

972131909568 is an abundant number, since it is smaller than the sum of its proper divisors (1647497903232).

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

972131909568 is a wasteful number, since it uses less digits than its factorization.

972131909568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The spelling of 972131909568 in words is "nine hundred seventy-two billion, one hundred thirty-one million, nine hundred nine thousand, five hundred sixty-eight".