6105977998146 has 96 divisors (see below), whose sum is σ = 14328586272000. Its totient is φ = 1868068915200.

The previous prime is 6105977998111. The next prime is 6105977998163. The reversal of 6105977998146 is 6418997795016.

6105977998146 is a `hidden beast` number, since 6 + 10 + 597 + 7 + 9 + 9 + 8 + 14 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 31547106 + ... + 31740066.

It is an arithmetic number, because the mean of its divisors is an integer number (149256107000).

Almost surely, 2^{6105977998146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105977998146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164293136000).

6105977998146 is an abundant number, since it is smaller than the sum of its proper divisors (8222608273854).

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

6105977998146 is a wasteful number, since it uses less digits than its factorization.

6105977998146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193752 (or 193749 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 6105977998146 in words is "six trillion, one hundred five billion, nine hundred seventy-seven million, nine hundred ninety-eight thousand, one hundred forty-six".