115340232477649 has 27 divisors (see below), whose sum is σ = 122782655950227. Its totient is φ = 108342347154048.

The previous prime is 115340232477647. The next prime is 115340232477667. The reversal of 115340232477649 is 946774232043511.

The square root of 115340232477649 is 10739657.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19134894179025 + 96205338298624 = 4374345^2 + 9808432^2 .

It is not a de Polignac number, because 115340232477649 - 2¹ = 115340232477647 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 115340232477593 and 115340232477602.

It is not an unprimeable number, because it can be changed into a prime (115340232477647) 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, 11523646957 + ... + 11523656965.

Almost surely, 2^{115340232477649} is an apocalyptic number.

115340232477649 is the 10739657-th square number.

115340232477649 is the 5369829-th centered octagonal number.

It is an amenable number.

115340232477649 is a deficient number, since it is larger than the sum of its proper divisors (7442423472578).

115340232477649 is an frugal number, since it uses more digits than its factorization.

115340232477649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20150 (or 10075 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 115340232477649 in words is "one hundred fifteen trillion, three hundred forty billion, two hundred thirty-two million, four hundred seventy-seven thousand, six hundred forty-nine".