115405420167 has 32 divisors (see below), whose sum is σ = 173290252800. Its totient is φ = 75896061696.

The previous prime is 115405420153. The next prime is 115405420201. The reversal of 115405420167 is 761024504511.

115405420167 is a `hidden beast` number, since 1 + 1 + 54 + 0 + 542 + 0 + 1 + 67 = 666.

It is not a de Polignac number, because 115405420167 - 2¹⁴ = 115405403783 is a prime.

It is a super-2 number, since 2×115405420167² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115405420127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1469934 + ... + 1546452.

It is an arithmetic number, because the mean of its divisors is an integer number (5415320400).

Almost surely, 2^115405420167 is an apocalyptic number.

115405420167 is a deficient number, since it is larger than the sum of its proper divisors (57884832633).

115405420167 is an equidigital number, since it uses as much as digits as its factorization.

115405420167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77284 (or 77278 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 115405420167 its reverse (761024504511), we get a palindrome (876429924678).

The spelling of 115405420167 in words is "one hundred fifteen billion, four hundred five million, four hundred twenty thousand, one hundred sixty-seven".