6101316864 has 108 divisors (see below), whose sum is σ = 18626520276. Its totient is φ = 1914126336.

The previous prime is 6101316857. The next prime is 6101316889. The reversal of 6101316864 is 4686131016.

6101316864 is a `hidden beast` number, since 610 + 1 + 31 + 6 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3159339264 + 2941977600 = 56208^2 + 54240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38719 + ... + 117054.

Almost surely, 2^6101316864 is an apocalyptic number.

6101316864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6101316864 is an abundant number, since it is smaller than the sum of its proper divisors (12525203412).

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

6101316864 is a wasteful number, since it uses less digits than its factorization.

6101316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155812 (or 155795 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6101316864 is about 78110.9266620234. The cubic root of 6101316864 is about 1827.2916094473.

It can be divided in two parts, 61013 and 16864, that added together give a palindrome (77877).

The spelling of 6101316864 in words is "six billion, one hundred one million, three hundred sixteen thousand, eight hundred sixty-four".