6245219066112 has 864 divisors, whose sum is σ = 21663079366656. Its totient is φ = 1778601369600.

The previous prime is 6245219066101. The next prime is 6245219066117. The reversal of 6245219066112 is 2116609125426.

6245219066112 is a `hidden beast` number, since 6 + 2 + 4 + 5 + 21 + 9 + 0 + 6 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6245219066112² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6245219066117) 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 95 ways as a sum of consecutive naturals, for example, 576600537 + ... + 576611367.

Almost surely, 2^{6245219066112} is an apocalyptic number.

6245219066112 is a gapful number since it is divisible by the number (62) 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 6245219066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10831539683328).

6245219066112 is an abundant number, since it is smaller than the sum of its proper divisors (15417860300544).

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

6245219066112 is a wasteful number, since it uses less digits than its factorization.

6245219066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10929 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 6245219066112 in words is "six trillion, two hundred forty-five billion, two hundred nineteen million, sixty-six thousand, one hundred twelve".