115513721648361 has 81 divisors (see below), whose sum is σ = 173718370043127. Its totient is φ = 73963305286560.

The previous prime is 115513721648323. The next prime is 115513721648431. The reversal of 115513721648361 is 163846127315511.

The square root of 115513721648361 is 10747731.

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

115513721648361 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 137 + 21 + 6 + 483 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15414897244761 + 100098824403600 = 3926181^2 + 10004940^2 .

It is not a de Polignac number, because 115513721648361 - 2¹¹ = 115513721646313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115513721648298 and 115513721648307.

It is not an unprimeable number, because it can be changed into a prime (115513721643361) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 162924853875 + ... + 162924854583.

Almost surely, 2^{115513721648361} is an apocalyptic number.

115513721648361 is the 10747731-st square number.

115513721648361 is the 5373866-th centered octagonal number.

It is an amenable number.

115513721648361 is a deficient number, since it is larger than the sum of its proper divisors (58204648394766).

115513721648361 is an frugal number, since it uses more digits than its factorization.

115513721648361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 906 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 115513721648361 in words is "one hundred fifteen trillion, five hundred thirteen billion, seven hundred twenty-one million, six hundred forty-eight thousand, three hundred sixty-one".