2261306167696 has 45 divisors (see below), whose sum is σ = 4423127136771. Its totient is φ = 1119955306752.

The previous prime is 2261306167651. The next prime is 2261306167711. The reversal of 2261306167696 is 6967616031622.

It is a happy number.

The square root of 2261306167696 is 1503764.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 540172081296 + 1721134086400 = 734964^2 + 1311920^2 .

It is a super-2 number, since 2×2261306167696² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 655639380 + ... + 655642828.

Almost surely, 2^{2261306167696} is an apocalyptic number.

2261306167696 is the 1503764-th square number.

It is an amenable number.

2261306167696 is a deficient number, since it is larger than the sum of its proper divisors (2161820969075).

2261306167696 is an frugal number, since it uses more digits than its factorization.

2261306167696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 2261306167696 in words is "two trillion, two hundred sixty-one billion, three hundred six million, one hundred sixty-seven thousand, six hundred ninety-six".