6291311616 has 396 divisors, whose sum is σ = 20115361344. Its totient is φ = 1891123200.

The previous prime is 6291311603. The next prime is 6291311617. The reversal of 6291311616 is 6161131926.

6291311616 is a `hidden beast` number, since 6 + 2 + 9 + 1 + 31 + 1 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6291311617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103136226 + ... + 103136286.

Almost surely, 2^6291311616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6291311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10057680672).

6291311616 is an abundant number, since it is smaller than the sum of its proper divisors (13824049728).

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

6291311616 is a wasteful number, since it uses less digits than its factorization.

6291311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 6291311616 is about 79317.7887740197. The cubic root of 6291311616 is about 1846.0653278584.

It can be divided in two parts, 62913 and 11616, that added together give a square (74529 = 273²).

The spelling of 6291311616 in words is "six billion, two hundred ninety-one million, three hundred eleven thousand, six hundred sixteen".