115065414 has 64 divisors (see below), whose sum is σ = 261835200. Its totient is φ = 37449216.

The previous prime is 115065409. The next prime is 115065421. The reversal of 115065414 is 414560511.

115065414 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 654 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665032 + ... + 665204.

It is an arithmetic number, because the mean of its divisors is an integer number (4091175).

Almost surely, 2^115065414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115065414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130917600).

115065414 is an abundant number, since it is smaller than the sum of its proper divisors (146769786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115065414 is a wasteful number, since it uses less digits than its factorization.

115065414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115065414 is about 10726.8548046480. The cubic root of 115065414 is about 486.3865998723.

It can be divided in two parts, 1150 and 65414, that added together give a square (66564 = 258²).

The spelling of 115065414 in words is "one hundred fifteen million, sixty-five thousand, four hundred fourteen".