16971706931712 has 960 divisors, whose sum is σ = 54085584301056. Its totient is φ = 4694019932160.

The previous prime is 16971706931657. The next prime is 16971706931713. The reversal of 16971706931712 is 21713960717961.

It is a super-2 number, since 2×16971706931712² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16971706931713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11843479348 + ... + 11843480780.

Almost surely, 2^{16971706931712} is an apocalyptic number.

16971706931712 is a gapful number since it is divisible by the number (12) 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 16971706931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27042792150528).

16971706931712 is an abundant number, since it is smaller than the sum of its proper divisors (37113877369344).

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

16971706931712 is a wasteful number, since it uses less digits than its factorization.

16971706931712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 6001128, while the sum is 60.

The spelling of 16971706931712 in words is "sixteen trillion, nine hundred seventy-one billion, seven hundred six million, nine hundred thirty-one thousand, seven hundred twelve".