1644516465306 has 256 divisors, whose sum is σ = 4104172800000. Its totient is φ = 431872680960.

The previous prime is 1644516465301. The next prime is 1644516465343. The reversal of 1644516465306 is 6035646154461.

It is not an unprimeable number, because it can be changed into a prime (1644516465301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1097074945 + ... + 1097076443.

It is an arithmetic number, because the mean of its divisors is an integer number (16031925000).

Almost surely, 2^{1644516465306} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1644516465306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052086400000).

1644516465306 is an abundant number, since it is smaller than the sum of its proper divisors (2459656334694).

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

1644516465306 is a wasteful number, since it uses less digits than its factorization.

1644516465306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109.

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 1644516465306 in words is "one trillion, six hundred forty-four billion, five hundred sixteen million, four hundred sixty-five thousand, three hundred six".