736176012049 has 27 divisors (see below), whose sum is σ = 802218549873. Its totient is φ = 675423110400.

The previous prime is 736176011933. The next prime is 736176012059. The reversal of 736176012049 is 940210671637.

The square root of 736176012049 is 858007.

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

736176012049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51863230225 + 684312781824 = 227735^2 + 827232^2 .

It is not a de Polignac number, because 736176012049 - 2¹⁵ = 736175979281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (736176012059) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 598030264 + ... + 598031494.

Almost surely, 2^736176012049 is an apocalyptic number.

736176012049 is the 858007-th square number.

736176012049 is the 429004-th centered octagonal number.

It is an amenable number.

736176012049 is a deficient number, since it is larger than the sum of its proper divisors (66042537824).

736176012049 is an frugal number, since it uses more digits than its factorization.

736176012049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 736176012049 in words is "seven hundred thirty-six billion, one hundred seventy-six million, twelve thousand, forty-nine".