274877906945 has 16 divisors (see below), whose sum is σ = 332019460560. Its totient is φ = 218462552064.

The previous prime is 274877906899. The next prime is 274877906951. The reversal of 274877906945 is 549609778472.

274877906945 is nontrivially palindromic in base 2 and base 4.

It is a Cunningham number, because it is equal to 2³⁸+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1048576 + 274876858369 = 1024^2 + 524287^2 .

It is a cyclic number.

It is not a de Polignac number, because 274877906945 - 2¹⁰ = 274877905921 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260609 + ... + 785921.

It is an arithmetic number, because the mean of its divisors is an integer number (20751216285).

It is a Proth number, since it is equal to 1 ⋅ 2³⁸ + 1 and 1 < 2³⁸.

Almost surely, 2^274877906945 is an apocalyptic number.

It is an amenable number.

274877906945 is a deficient number, since it is larger than the sum of its proper divisors (57141553615).

274877906945 is a wasteful number, since it uses less digits than its factorization.

274877906945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526004.

The product of its (nonzero) digits is 213373440, while the sum is 68.

The spelling of 274877906945 in words is "two hundred seventy-four billion, eight hundred seventy-seven million, nine hundred six thousand, nine hundred forty-five".