6135411116016 has 240 divisors, whose sum is σ = 21136998145536. Its totient is φ = 1617830613504.

The previous prime is 6135411115991. The next prime is 6135411116033. The reversal of 6135411116016 is 6106111145316.

6135411116016 is a `hidden beast` number, since 6 + 1 + 3 + 5 + 41 + 1 + 1 + 1 + 601 + 6 = 666.

It is a super-2 number, since 2×6135411116016² (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 75739951 + ... + 75820913.

Almost surely, 2^{6135411116016} 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 6135411116016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10568499072768).

6135411116016 is an abundant number, since it is smaller than the sum of its proper divisors (15001587029520).

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

6135411116016 is a wasteful number, since it uses less digits than its factorization.

6135411116016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86780 (or 86771 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 6135411116016 in words is "six trillion, one hundred thirty-five billion, four hundred eleven million, one hundred sixteen thousand, sixteen".