2971372647168 has 504 divisors, whose sum is σ = 9504819304848. Its totient is φ = 923377729536.

The previous prime is 2971372647109. The next prime is 2971372647181. The reversal of 2971372647168 is 8617462731792.

2971372647168 is a `hidden beast` number, since 2 + 9 + 7 + 137 + 26 + 471 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 339464680 + ... + 339473432.

It is an arithmetic number, because the mean of its divisors is an integer number (18858768462).

Almost surely, 2^{2971372647168} 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 2971372647168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752409652424).

2971372647168 is an abundant number, since it is smaller than the sum of its proper divisors (6533446657680).

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

2971372647168 is an equidigital number, since it uses as much as digits as its factorization.

2971372647168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8882 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 2971372647168 in words is "two trillion, nine hundred seventy-one billion, three hundred seventy-two million, six hundred forty-seven thousand, one hundred sixty-eight".