6106146594912 has 1152 divisors, whose sum is σ = 22393390795776. Its totient is φ = 1535703515136.

The previous prime is 6106146594841. The next prime is 6106146594913. The reversal of 6106146594912 is 2194956416016.

6106146594912 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 1 + 46 + 594 + 9 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106146594913) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 9073025808 + ... + 9073026480.

It is an arithmetic number, because the mean of its divisors is an integer number (19438707288).

Almost surely, 2^{6106146594912} 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 6106146594912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196695397888).

6106146594912 is an abundant number, since it is smaller than the sum of its proper divisors (16287244200864).

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

6106146594912 is a wasteful number, since it uses less digits than its factorization.

6106146594912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 6106146594912 in words is "six trillion, one hundred six billion, one hundred forty-six million, five hundred ninety-four thousand, nine hundred twelve".