1648133112 has 64 divisors (see below), whose sum is σ = 4353523200. Its totient is φ = 518503680.

The previous prime is 1648133107. The next prime is 1648133117. The reversal of 1648133112 is 2113318461.

It is an interprime number because it is at equal distance from previous prime (1648133107) and next prime (1648133117).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1648133112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648133117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116908 + ... + 130244.

It is an arithmetic number, because the mean of its divisors is an integer number (68023800).

Almost surely, 2^1648133112 is an apocalyptic number.

1648133112 is a gapful number since it is divisible by the number (12) 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 1648133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176761600).

1648133112 is an abundant number, since it is smaller than the sum of its proper divisors (2705390088).

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

1648133112 is a wasteful number, since it uses less digits than its factorization.

1648133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13636 (or 13632 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 1648133112 is about 40597.2057166500. The cubic root of 1648133112 is about 1181.2199181164.

The spelling of 1648133112 in words is "one billion, six hundred forty-eight million, one hundred thirty-three thousand, one hundred twelve".