5906461518 has 144 divisors (see below), whose sum is σ = 13881950784. Its totient is φ = 1883269440.

The previous prime is 5906461513. The next prime is 5906461537. The reversal of 5906461518 is 8151646095.

5906461518 is a `hidden beast` number, since 5 + 90 + 6 + 46 + 1 + 518 = 666.

It is a super-2 number, since 2×5906461518² = 69772575327229728648, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5906461513) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37620696 + ... + 37620852.

It is an arithmetic number, because the mean of its divisors is an integer number (96402436).

Almost surely, 2^5906461518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5906461518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940975392).

5906461518 is an abundant number, since it is smaller than the sum of its proper divisors (7975489266).

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

5906461518 is an equidigital number, since it uses as much as digits as its factorization.

5906461518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5906461518 is about 76853.5068685873. The cubic root of 5906461518 is about 1807.6282762218.

The spelling of 5906461518 in words is "five billion, nine hundred six million, four hundred sixty-one thousand, five hundred eighteen".