6133238121348 has 144 divisors (see below), whose sum is σ = 16899539909616. Its totient is φ = 1864287360000.

The previous prime is 6133238121347. The next prime is 6133238121349. The reversal of 6133238121348 is 8431218323316.

6133238121348 is a `hidden beast` number, since 6 + 13 + 3 + 2 + 381 + 213 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (6133238121347) and next prime (6133238121349).

It can be written as a sum of positive squares in 8 ways, for example, as 810518482944 + 5322719638404 = 900288^2 + 2307102^2 .

It is not an unprimeable number, because it can be changed into a prime (6133238121347) 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 47 ways as a sum of consecutive naturals, for example, 12470098 + ... + 12952598.

It is an arithmetic number, because the mean of its divisors is an integer number (117357916039).

Almost surely, 2^{6133238121348} 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 6133238121348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449769954808).

6133238121348 is an abundant number, since it is smaller than the sum of its proper divisors (10766301788268).

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

6133238121348 is a wasteful number, since it uses less digits than its factorization.

6133238121348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482854 (or 482849 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 6133238121348 in words is "six trillion, one hundred thirty-three billion, two hundred thirty-eight million, one hundred twenty-one thousand, three hundred forty-eight".