6115511296512 has 240 divisors, whose sum is σ = 18362639572992. Its totient is φ = 1957206343680.

The previous prime is 6115511296507. The next prime is 6115511296513. The reversal of 6115511296512 is 2156921155116.

6115511296512 is a `hidden beast` number, since 6 + 1 + 1 + 5 + 5 + 1 + 129 + 6 + 512 = 666.

It is a super-2 number, since 2×6115511296512² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6115511296513) 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 23 ways as a sum of consecutive naturals, for example, 17973148 + ... + 18310244.

Almost surely, 2^{6115511296512} is an apocalyptic number.

6115511296512 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6115511296512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9181319786496).

6115511296512 is an abundant number, since it is smaller than the sum of its proper divisors (12247128276480).

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

6115511296512 is a wasteful number, since it uses less digits than its factorization.

6115511296512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337279 (or 337260 counting only the distinct ones).

The product of its digits is 162000, while the sum is 45.

The spelling of 6115511296512 in words is "six trillion, one hundred fifteen billion, five hundred eleven million, two hundred ninety-six thousand, five hundred twelve".