115803409401 has 15 divisors (see below), whose sum is σ = 172994853493. Its totient is φ = 77200231140.

The previous prime is 115803409333. The next prime is 115803409427. The reversal of 115803409401 is 104904308511.

The square root of 115803409401 is 340299.

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

115803409401 is a `hidden beast` number, since 1 + 1 + 580 + 34 + 0 + 9 + 40 + 1 = 666.

It is not a de Polignac number, because 115803409401 - 2⁷ = 115803409273 is a prime.

It is a super-3 number, since 3×115803409401³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115803409451) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3043786 + ... + 3081596.

Almost surely, 2^115803409401 is an apocalyptic number.

115803409401 is the 340299-th square number.

115803409401 is the 170150-th centered octagonal number.

It is an amenable number.

115803409401 is a deficient number, since it is larger than the sum of its proper divisors (57191444092).

115803409401 is an frugal number, since it uses more digits than its factorization.

115803409401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75634 (or 37814 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 115803409401 by its sum of digits (36), we get a square (4168922738436 = 2041794²).

The spelling of 115803409401 in words is "one hundred fifteen billion, eight hundred three million, four hundred nine thousand, four hundred one".