736797340161 has 27 divisors (see below), whose sum is σ = 1068576348931. Its totient is φ = 489215394384.

The previous prime is 736797340117. The next prime is 736797340183. The reversal of 736797340161 is 161043797637.

The square root of 736797340161 is 858369.

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

736797340161 is a `hidden beast` number, since 7 + 367 + 97 + 34 + 0 + 161 = 666.

It can be written as a sum of positive squares in only one way, i.e., 357287130225 + 379510209936 = 597735^2 + 616044^2 .

It is not a de Polignac number, because 736797340161 - 2¹⁷ = 736797209089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 736797340098 and 736797340107.

It is not an unprimeable number, because it can be changed into a prime (736797340861) 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, 924463015 + ... + 924463811.

Almost surely, 2^736797340161 is an apocalyptic number.

736797340161 is the 858369-th square number.

736797340161 is the 429185-th centered octagonal number.

It is an amenable number.

736797340161 is a deficient number, since it is larger than the sum of its proper divisors (331779008770).

736797340161 is an frugal number, since it uses more digits than its factorization.

736797340161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The spelling of 736797340161 in words is "seven hundred thirty-six billion, seven hundred ninety-seven million, three hundred forty thousand, one hundred sixty-one".