6106416946344 has 192 divisors, whose sum is σ = 19463673902400. Its totient is φ = 1705085107200.

The previous prime is 6106416946237. The next prime is 6106416946369. The reversal of 6106416946344 is 4436496146016.

6106416946344 is a `hidden beast` number, since 6 + 10 + 6 + 4 + 169 + 463 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5337259 + ... + 6379589.

It is an arithmetic number, because the mean of its divisors is an integer number (101373301575).

Almost surely, 2^{6106416946344} 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 6106416946344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9731836951200).

6106416946344 is an abundant number, since it is smaller than the sum of its proper divisors (13357256956056).

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

6106416946344 is a wasteful number, since it uses less digits than its factorization.

6106416946344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042936 (or 1042929 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 6106416946344 in words is "six trillion, one hundred six billion, four hundred sixteen million, nine hundred forty-six thousand, three hundred forty-four".