6105841214464 has 88 divisors (see below), whose sum is σ = 12381196899456. Its totient is φ = 3009054720000.

The previous prime is 6105841214443. The next prime is 6105841214467. The reversal of 6105841214464 is 4644121485016.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6105841214467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305419509 + ... + 305439499.

It is an arithmetic number, because the mean of its divisors is an integer number (140695419312).

Almost surely, 2^{6105841214464} is an apocalyptic number.

6105841214464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105841214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190598449728).

6105841214464 is an abundant number, since it is smaller than the sum of its proper divisors (6275355684992).

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

6105841214464 is a wasteful number, since it uses less digits than its factorization.

6105841214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24283 (or 24265 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 6105841214464 in words is "six trillion, one hundred five billion, eight hundred forty-one million, two hundred fourteen thousand, four hundred sixty-four".