6167130048 has 252 divisors, whose sum is σ = 19347012360. Its totient is φ = 1944995328.

The previous prime is 6167130043. The next prime is 6167130091. The reversal of 6167130048 is 8400317616.

6167130048 is a `hidden beast` number, since 616 + 7 + 1 + 30 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6167129994 and 6167130021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6167130043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7977790 + ... + 7978562.

Almost surely, 2^6167130048 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 6167130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9673506180).

6167130048 is an abundant number, since it is smaller than the sum of its proper divisors (13179882312).

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

6167130048 is an frugal number, since it uses more digits than its factorization.

6167130048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6167130048 is about 78531.0769568328. The cubic root of 6167130048 is about 1833.8382862383.

It can be divided in two parts, 61671 and 30048, that added together give a palindrome (91719).

The spelling of 6167130048 in words is "six billion, one hundred sixty-seven million, one hundred thirty thousand, forty-eight".