6142123584 has 42 divisors (see below), whose sum is σ = 17605289910. Its totient is φ = 2047374336.

The previous prime is 6142123583. The next prime is 6142123591. The reversal of 6142123584 is 4853212416.

It is a happy number.

6142123584 is a `hidden beast` number, since 61 + 4 + 2 + 12 + 3 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5953665600 + 188457984 = 77160^2 + 13728^2 .

It is a super-2 number, since 2×6142123584² = 75451364242258010112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6142123583) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5331129 + ... + 5332280.

Almost surely, 2^6142123584 is an apocalyptic number.

6142123584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6142123584 is an abundant number, since it is smaller than the sum of its proper divisors (11463166326).

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

6142123584 is a wasteful number, since it uses less digits than its factorization.

6142123584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10663427 (or 10663414 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6142123584 is about 78371.7014234092. The cubic root of 6142123584 is about 1831.3563142291.

It can be divided in two parts, 614212 and 3584, that added together give a square (617796 = 786²).

The spelling of 6142123584 in words is "six billion, one hundred forty-two million, one hundred twenty-three thousand, five hundred eighty-four".