971474274336 has 288 divisors, whose sum is σ = 2683912480704. Its totient is φ = 307472793600.

The previous prime is 971474274293. The next prime is 971474274347. The reversal of 971474274336 is 633472474179.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1654981435 + ... + 1654982021.

It is an arithmetic number, because the mean of its divisors is an integer number (9319140558).

Almost surely, 2^971474274336 is an apocalyptic number.

971474274336 is a gapful number since it is divisible by the number (96) 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 971474274336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341956240352).

971474274336 is an abundant number, since it is smaller than the sum of its proper divisors (1712438206368).

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

971474274336 is a wasteful number, since it uses less digits than its factorization.

971474274336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 807 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 57.

The spelling of 971474274336 in words is "nine hundred seventy-one billion, four hundred seventy-four million, two hundred seventy-four thousand, three hundred thirty-six".