6133112556345 has 24 divisors (see below), whose sum is σ = 10653990454536. Its totient is φ = 3263835817728.

The previous prime is 6133112556323. The next prime is 6133112556353. The reversal of 6133112556345 is 5436552113316.

6133112556345 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 1 + 1 + 2 + 5 + 5 + 634 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2889309841209 + 3243802715136 = 1699797^2 + 1801056^2 .

It is not a de Polignac number, because 6133112556345 - 2⁷ = 6133112556217 is a prime.

It is a super-3 number, since 3×6133112556345³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 6133112556345.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149094742 + ... + 149135871.

It is an arithmetic number, because the mean of its divisors is an integer number (443916268939).

Almost surely, 2^{6133112556345} is an apocalyptic number.

It is an amenable number.

6133112556345 is a deficient number, since it is larger than the sum of its proper divisors (4520877898191).

6133112556345 is a wasteful number, since it uses less digits than its factorization.

6133112556345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298231081 (or 298231078 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 6133112556345 in words is "six trillion, one hundred thirty-three billion, one hundred twelve million, five hundred fifty-six thousand, three hundred forty-five".