2766337359361 has 9 divisors (see below), whose sum is σ = 2792132420931. Its totient is φ = 2740778488584.

The previous prime is 2766337359347. The next prime is 2766337359371. The reversal of 2766337359361 is 1639537336672.

The square root of 2766337359361 is 1663231.

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

It can be written as a sum of positive squares in only one way, i.e., 1928123867761 + 838213491600 = 1388569^2 + 915540^2 .

It is not a de Polignac number, because 2766337359361 - 2²³ = 2766328970753 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 2766337359361.

It is not an unprimeable number, because it can be changed into a prime (2766337359311) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 181284550 + ... + 181299808.

It is an arithmetic number, because the mean of its divisors is an integer number (310236935659).

Almost surely, 2^{2766337359361} is an apocalyptic number.

2766337359361 is the 1663231-st square number.

2766337359361 is the 831616-th centered octagonal number.

It is an amenable number.

2766337359361 is a deficient number, since it is larger than the sum of its proper divisors (25795061570).

2766337359361 is an frugal number, since it uses more digits than its factorization.

2766337359361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30736 (or 15368 counting only the distinct ones).

The product of its digits is 77157360, while the sum is 61.

The spelling of 2766337359361 in words is "two trillion, seven hundred sixty-six billion, three hundred thirty-seven million, three hundred fifty-nine thousand, three hundred sixty-one".