2251664345113 has 16 divisors (see below), whose sum is σ = 2262996029952. Its totient is φ = 2240367768000.

The previous prime is 2251664345071. The next prime is 2251664345137. The reversal of 2251664345113 is 3115434661522.

It is a cyclic number.

It is not a de Polignac number, because 2251664345113 - 2⁴¹ = 52641089561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2251664345113.

It is not an unprimeable number, because it can be changed into a prime (2251664345143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403448983 + ... + 403454563.

It is an arithmetic number, because the mean of its divisors is an integer number (141437251872).

Almost surely, 2^{2251664345113} is an apocalyptic number.

It is an amenable number.

2251664345113 is a deficient number, since it is larger than the sum of its proper divisors (11331684839).

2251664345113 is a wasteful number, since it uses less digits than its factorization.

2251664345113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8376.

The product of its digits is 518400, while the sum is 43.

The spelling of 2251664345113 in words is "two trillion, two hundred fifty-one billion, six hundred sixty-four million, three hundred forty-five thousand, one hundred thirteen".