971193180672 has 480 divisors, whose sum is σ = 3436177320576. Its totient is φ = 259846963200.

The previous prime is 971193180647. The next prime is 971193180677. The reversal of 971193180672 is 276081391179.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (971193180677) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15123672 + ... + 15187752.

Almost surely, 2^971193180672 is an apocalyptic number.

971193180672 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971193180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718088660288).

971193180672 is an abundant number, since it is smaller than the sum of its proper divisors (2464984139904).

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

971193180672 is a wasteful number, since it uses less digits than its factorization.

971193180672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64152 (or 64133 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 971193180672 in words is "nine hundred seventy-one billion, one hundred ninety-three million, one hundred eighty thousand, six hundred seventy-two".