6115412460096 has 189 divisors, whose sum is σ = 17662943653849. Its totient is φ = 2022980348928.

The previous prime is 6115412460089. The next prime is 6115412460109. The reversal of 6115412460096 is 6900642145116.

The square root of 6115412460096 is 2472936.

It is a perfect power (a square), and thus also a powerful number.

6115412460096 is a `hidden beast` number, since 6 + 1 + 15 + 4 + 1 + 24 + 600 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177106305600 + 5938306154496 = 420840^2 + 2436864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9911527180 + ... + 9911527796.

Almost surely, 2^{6115412460096} is an apocalyptic number.

6115412460096 is the 2472936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6115412460096

6115412460096 is an abundant number, since it is smaller than the sum of its proper divisors (11547531193753).

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

6115412460096 is an frugal number, since it uses more digits than its factorization.

6115412460096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6115412460096 in words is "six trillion, one hundred fifteen billion, four hundred twelve million, four hundred sixty thousand, ninety-six".