6141467952 has 100 divisors (see below), whose sum is σ = 17865262800. Its totient is φ = 2036783232.

The previous prime is 6141467911. The next prime is 6141467963. The reversal of 6141467952 is 2597641416.

6141467952 is a `hidden beast` number, since 61 + 41 + 467 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6141467898 and 6141467907.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 245998 + ... + 269810.

It is an arithmetic number, because the mean of its divisors is an integer number (178652628).

Almost surely, 2^6141467952 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 6141467952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932631400).

6141467952 is an abundant number, since it is smaller than the sum of its proper divisors (11723794848).

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

6141467952 is a wasteful number, since it uses less digits than its factorization.

6141467952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24032 (or 24017 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6141467952 is about 78367.5184754500. The cubic root of 6141467952 is about 1831.2911500932.

The spelling of 6141467952 in words is "six billion, one hundred forty-one million, four hundred sixty-seven thousand, nine hundred fifty-two".