6146117172 has 72 divisors (see below), whose sum is σ = 16775726240. Its totient is φ = 1886068800.

The previous prime is 6146117171. The next prime is 6146117179. The reversal of 6146117172 is 2717116416.

6146117172 is a `hidden beast` number, since 61 + 461 + 1 + 71 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6146117171) 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 23 ways as a sum of consecutive naturals, for example, 160047 + ... + 194697.

Almost surely, 2^6146117172 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 6146117172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387863120).

6146117172 is an abundant number, since it is smaller than the sum of its proper divisors (10629609068).

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

6146117172 is a wasteful number, since it uses less digits than its factorization.

6146117172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35053 (or 35048 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 6146117172 is about 78397.1757909684. The cubic root of 6146117172 is about 1831.7531421319.

The spelling of 6146117172 in words is "six billion, one hundred forty-six million, one hundred seventeen thousand, one hundred seventy-two".