6113857134528 has 672 divisors, whose sum is σ = 21286880090112. Its totient is φ = 1652294246400.

The previous prime is 6113857134491. The next prime is 6113857134533. The reversal of 6113857134528 is 8254317583116.

6113857134528 is a `hidden beast` number, since 6 + 1 + 1 + 3 + 8 + 571 + 3 + 45 + 28 = 666.

It is a super-2 number, since 2×6113857134528² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1932928275 + ... + 1932931437.

It is an arithmetic number, because the mean of its divisors is an integer number (31676904896).

Almost surely, 2^{6113857134528} 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 6113857134528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10643440045056).

6113857134528 is an abundant number, since it is smaller than the sum of its proper divisors (15173022955584).

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

6113857134528 is a wasteful number, since it uses less digits than its factorization.

6113857134528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3980 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 6113857134528 in words is "six trillion, one hundred thirteen billion, eight hundred fifty-seven million, one hundred thirty-four thousand, five hundred twenty-eight".