6306105013656 has 256 divisors, whose sum is σ = 18750033100800. Its totient is φ = 1729484697600.

The previous prime is 6306105013567. The next prime is 6306105013669. The reversal of 6306105013656 is 6563105016036.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351130005 + ... + 351147963.

It is an arithmetic number, because the mean of its divisors is an integer number (73242316800).

Almost surely, 2^{6306105013656} 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 6306105013656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9375016550400).

6306105013656 is an abundant number, since it is smaller than the sum of its proper divisors (12443928087144).

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

6306105013656 is a wasteful number, since it uses less digits than its factorization.

6306105013656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18550 (or 18546 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 6306105013656 in words is "six trillion, three hundred six billion, one hundred five million, thirteen thousand, six hundred fifty-six".