1648126105626 has 384 divisors, whose sum is σ = 4632290869248. Its totient is φ = 379985126400.

The previous prime is 1648126105609. The next prime is 1648126105627. The reversal of 1648126105626 is 6265016218461.

It is not an unprimeable number, because it can be changed into a prime (1648126105627) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333829030 + ... + 333833966.

It is an arithmetic number, because the mean of its divisors is an integer number (12063257472).

Almost surely, 2^{1648126105626} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1648126105626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316145434624).

1648126105626 is an abundant number, since it is smaller than the sum of its proper divisors (2984164763622).

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

1648126105626 is a wasteful number, since it uses less digits than its factorization.

1648126105626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5167 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 1648126105626 in words is "one trillion, six hundred forty-eight billion, one hundred twenty-six million, one hundred five thousand, six hundred twenty-six".