2168953459201 has 16 divisors (see below), whose sum is σ = 2191333248720. Its totient is φ = 2146620579840.

The previous prime is 2168953459177. The next prime is 2168953459249. The reversal of 2168953459201 is 1029543598612.

It can be written as a sum of positive squares in 8 ways, for example, as 80003556801 + 2088949902400 = 282849^2 + 1445320^2 .

It is a cyclic number.

It is not a de Polignac number, because 2168953459201 - 2¹³ = 2168953451009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2168953459261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603659061 + ... + 603662653.

It is an arithmetic number, because the mean of its divisors is an integer number (136958328045).

Almost surely, 2^{2168953459201} is an apocalyptic number.

It is an amenable number.

2168953459201 is a deficient number, since it is larger than the sum of its proper divisors (22379789519).

2168953459201 is a wasteful number, since it uses less digits than its factorization.

2168953459201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436.

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 2168953459201 in words is "two trillion, one hundred sixty-eight billion, nine hundred fifty-three million, four hundred fifty-nine thousand, two hundred one".