971095830264 has 256 divisors, whose sum is σ = 3349782528000. Its totient is φ = 254373644160.

The previous prime is 971095830253. The next prime is 971095830269. The reversal of 971095830264 is 462038590179.

It is a super-2 number, since 2×971095830264² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 971095830264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971095830269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345357 + ... + 1435779.

It is an arithmetic number, because the mean of its divisors is an integer number (13085088000).

It is a 1-persistent number, because it is pandigital, but 2⋅971095830264 = 1942191660528 is not.

Almost surely, 2^971095830264 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 971095830264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674891264000).

971095830264 is an abundant number, since it is smaller than the sum of its proper divisors (2378686697736).

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

971095830264 is a wasteful number, since it uses less digits than its factorization.

971095830264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090495 (or 1090485 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 971095830264 in words is "nine hundred seventy-one billion, ninety-five million, eight hundred thirty thousand, two hundred sixty-four".