6104114016 has 192 divisors, whose sum is σ = 21514139136. Its totient is φ = 1463500800.

The previous prime is 6104113991. The next prime is 6104114033.

6104114016 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 64336 + ... + 127856.

It is an arithmetic number, because the mean of its divisors is an integer number (112052808).

Almost surely, 2^6104114016 is an apocalyptic number.

6104114016 is a gapful number since it is divisible by the number (66) 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 6104114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757069568).

6104114016 is an abundant number, since it is smaller than the sum of its proper divisors (15410025120).

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

6104114016 is a wasteful number, since it uses less digits than its factorization.

6104114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63565 (or 63557 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 6104114016 is about 78128.8296085382. The cubic root of 6104114016 is about 1827.5708077260.

It can be divided in two parts, 61041 and 14016, that added together give a palindrome (75057).

The spelling of 6104114016 in words is "six billion, one hundred four million, one hundred fourteen thousand, sixteen".