6193145806848 has 2688 divisors, whose sum is σ = 26065208287440. Its totient is φ = 1444738498560.

The previous prime is 6193145806831. The next prime is 6193145806919. The reversal of 6193145806848 is 8486085413916.

6193145806848 is a `hidden beast` number, since 6 + 1 + 9 + 3 + 1 + 4 + 580 + 6 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 167 ways as a sum of consecutive naturals, for example, 167382319086 + ... + 167382319122.

Almost surely, 2^{6193145806848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6193145806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13032604143720).

6193145806848 is an abundant number, since it is smaller than the sum of its proper divisors (19872062480592).

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

6193145806848 is an equidigital number, since it uses as much as digits as its factorization.

6193145806848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 6193145806848 in words is "six trillion, one hundred ninety-three billion, one hundred forty-five million, eight hundred six thousand, eight hundred forty-eight".