6013031251968 has 1344 divisors, whose sum is σ = 20934798715320. Its totient is φ = 1715340312576.

The previous prime is 6013031251967. The next prime is 6013031252021. The reversal of 6013031251968 is 8691521303106.

6013031251968 is a `hidden beast` number, since 6 + 0 + 1 + 303 + 1 + 251 + 96 + 8 = 666.

It is a super-3 number, since 3×6013031251968³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6013031251961) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 89746735071 + ... + 89746735137.

Almost surely, 2^{6013031251968} is an apocalyptic number.

6013031251968 is a gapful number since it is divisible by the number (68) 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 6013031251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10467399357660).

6013031251968 is an abundant number, since it is smaller than the sum of its proper divisors (14921767463352).

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

6013031251968 is an frugal number, since it uses more digits than its factorization.

6013031251968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 6013031251968 in words is "six trillion, thirteen billion, thirty-one million, two hundred fifty-one thousand, nine hundred sixty-eight".