6114893824 has 112 divisors (see below), whose sum is σ = 13381896528. Its totient is φ = 2776891392.

The previous prime is 6114893779. The next prime is 6114893831. The reversal of 6114893824 is 4283984116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7134804 + ... + 7135660.

It is an arithmetic number, because the mean of its divisors is an integer number (119481219).

Almost surely, 2^6114893824 is an apocalyptic number.

6114893824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6114893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690948264).

6114893824 is an abundant number, since it is smaller than the sum of its proper divisors (7267002704).

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

6114893824 is an equidigital number, since it uses as much as digits as its factorization.

6114893824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 939 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 6114893824 is about 78197.7865671401. The cubic root of 6114893824 is about 1828.6459993398.

The spelling of 6114893824 in words is "six billion, one hundred fourteen million, eight hundred ninety-three thousand, eight hundred twenty-four".