6136460646316 has 288 divisors, whose sum is σ = 15370426874880. Its totient is φ = 2080096381440.

The previous prime is 6136460646167. The next prime is 6136460646319.

6136460646316 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6136460646316² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (6136460646319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164838081 + ... + 164875303.

It is an arithmetic number, because the mean of its divisors is an integer number (53369537760).

Almost surely, 2^{6136460646316} 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 6136460646316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685213437440).

6136460646316 is an abundant number, since it is smaller than the sum of its proper divisors (9233966228564).

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

6136460646316 is a wasteful number, since it uses less digits than its factorization.

6136460646316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37485 (or 37472 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 52.

The spelling of 6136460646316 in words is "six trillion, one hundred thirty-six billion, four hundred sixty million, six hundred forty-six thousand, three hundred sixteen".