115740802849 has 45 divisors (see below), whose sum is σ = 138677115059. Its totient is φ = 96591571440.

The previous prime is 115740802817. The next prime is 115740802873. The reversal of 115740802849 is 948208047511.

The square root of 115740802849 is 340207.

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

It can be written as a sum of positive squares in only one way, i.e., 83437211025 + 32303591824 = 288855^2 + 179732^2 .

It is not a de Polignac number, because 115740802849 - 2⁵ = 115740802817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (115740802949) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 883517514 + ... + 883517644.

Almost surely, 2^115740802849 is an apocalyptic number.

115740802849 is the 340207-th square number.

115740802849 is the 170104-th centered octagonal number.

It is an amenable number.

115740802849 is a deficient number, since it is larger than the sum of its proper divisors (22936312210).

115740802849 is an frugal number, since it uses more digits than its factorization.

115740802849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

Multiplying 115740802849 by its sum of digits (49), we get a square (5671299339601 = 2381449²).

115740802849 divided by its sum of digits (49) gives a square (2362057201 = 48601²).

The spelling of 115740802849 in words is "one hundred fifteen billion, seven hundred forty million, eight hundred two thousand, eight hundred forty-nine".