6146232326416 has 120 divisors (see below), whose sum is σ = 14931872632320. Its totient is φ = 2429235277056.

The previous prime is 6146232326411. The next prime is 6146232326447.

It is a happy number.

6146232326416 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6146232326411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10801315 + ... + 11356093.

It is an arithmetic number, because the mean of its divisors is an integer number (124432271936).

Almost surely, 2^{6146232326416} 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 6146232326416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465936316160).

6146232326416 is an abundant number, since it is smaller than the sum of its proper divisors (8785640305904).

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

6146232326416 is a wasteful number, since it uses less digits than its factorization.

6146232326416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555901 (or 555888 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 46.

The spelling of 6146232326416 in words is "six trillion, one hundred forty-six billion, two hundred thirty-two million, three hundred twenty-six thousand, four hundred sixteen".