6012308016 has 480 divisors, whose sum is σ = 21145313280. Its totient is φ = 1580705280.

The previous prime is 6012307999. The next prime is 6012308021. The reversal of 6012308016 is 6108032106.

It is a super-2 number, since 2×6012308016² = 72295695358515712512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47340945 + ... + 47341071.

It is an arithmetic number, because the mean of its divisors is an integer number (44052736).

Almost surely, 2^6012308016 is an apocalyptic number.

6012308016 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 6012308016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10572656640).

6012308016 is an abundant number, since it is smaller than the sum of its proper divisors (15133005264).

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

6012308016 is a wasteful number, since it uses less digits than its factorization.

6012308016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6012308016 is about 77539.0741239538. The cubic root of 6012308016 is about 1818.3622524945.

It can be divided in two parts, 6012 and 308016, that added together give a triangular number (314028 = T₇₉₂).

The spelling of 6012308016 in words is "six billion, twelve million, three hundred eight thousand, sixteen".