6454867968001 has 8 divisors (see below), whose sum is σ = 6694101628200. Its totient is φ = 6216744441600.

The previous prime is 6454867967963. The next prime is 6454867968011. The reversal of 6454867968001 is 1008697684546.

It can be written as a sum of positive squares in 4 ways, for example, as 4852111968001 + 1602756000000 = 2202751^2 + 1266000^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6454867968001 - 2³⁵ = 6420508229633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6454867968011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277521606 + ... + 277544863.

It is an arithmetic number, because the mean of its divisors is an integer number (836762703525).

Almost surely, 2^{6454867968001} is an apocalyptic number.

It is an amenable number.

6454867968001 is a deficient number, since it is larger than the sum of its proper divisors (239233660199).

6454867968001 is a wasteful number, since it uses less digits than its factorization.

6454867968001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555066899.

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 6454867968001 in words is "six trillion, four hundred fifty-four billion, eight hundred sixty-seven million, nine hundred sixty-eight thousand, one".