3168497868800 has 504 divisors, whose sum is σ = 8936482520700. Its totient is φ = 1112198348800.

The previous prime is 3168497868799. The next prime is 3168497868803. The reversal of 3168497868800 is 88687948613.

It can be written as a sum of positive squares in 6 ways, for example, as 484772417536 + 2683725451264 = 696256^2 + 1638208^2 .

It is a Smith number, since the sum of its digits (68) 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 (3168497868803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 718640996 + ... + 718645404.

Almost surely, 2^{3168497868800} 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 3168497868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4468241260350).

3168497868800 is an abundant number, since it is smaller than the sum of its proper divisors (5767984651900).

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

3168497868800 is a wasteful number, since it uses less digits than its factorization.

3168497868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4496 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 68.

The spelling of 3168497868800 in words is "three trillion, one hundred sixty-eight billion, four hundred ninety-seven million, eight hundred sixty-eight thousand, eight hundred".