6146144416416 has 192 divisors, whose sum is σ = 17512091654400. Its totient is φ = 1879799562240.

The previous prime is 6146144416403. The next prime is 6146144416427.

6146144416416 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93577060 + ... + 93642716.

It is an arithmetic number, because the mean of its divisors is an integer number (91208810700).

Almost surely, 2^{6146144416416} 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 6146144416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756045827200).

6146144416416 is an abundant number, since it is smaller than the sum of its proper divisors (11365947237984).

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

6146144416416 is a wasteful number, since it uses less digits than its factorization.

6146144416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67127 (or 67119 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 6146144416416 in words is "six trillion, one hundred forty-six billion, one hundred forty-four million, four hundred sixteen thousand, four hundred sixteen".